CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

Clearly, {tex}BD=\frac{BC}{2}=\frac{a}{2}{/tex} [In an equilateral triangle , altitude bisects the base]
In {tex}\triangle ABC{/tex}, {tex}\angle ADB=90^o{/tex}
Using pythgoras theorem,
AB² = AD² + BD²
{tex}\Rightarrow a^2=AD^2+(\frac{a}{2})^2{/tex}
{tex}\Rightarrow a^2=AD^2+(\frac{a^2}{4}){/tex}
{tex}\Rightarrow a^2 - (\frac{a^2}{4})=AD^2{/tex}
{tex}\Rightarrow (\frac{4a^2 - a^2}{4})=AD^2{/tex}
{tex}\Rightarrow AD=\frac{\sqrt3 a }{2}{/tex}
{tex}\therefore \triangle ABC{/tex} and {tex}\triangle ADE{/tex} are equilateral triangles and so equiangular.
{tex}\therefore \triangle ABC \sim \triangle ADE{/tex}
{tex}\frac{ar(\triangle ADE)}{ar(\triangle ABC)}=\frac{AD^2}{AB^2}{/tex}
{tex}\frac{ar(\triangle ADE)}{ar(\triangle ABC)}=\frac{\frac{\sqrt{3}a}{2}}{a^2}{/tex}
{tex}\frac{ar(\triangle ADE)}{ar(\triangle ABC)}=\frac{3}{4}{/tex}

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The line segment AB joining A(2,-4)and B(5,2)is trisected at C(3,a) and D(b,0). Find a and b.

Posted by Jitendra Sharma 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Vedansh Tyagi 6 years, 11 months ago

I mean uttar Pradesh

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@ M 6 years, 11 months ago

By formula

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K K 6 years, 11 months ago

Teri

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Ch 12 ki ex 12.3 ka q 8

Posted by Rohit Rao 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

@ Aashu 6 years, 11 months ago

It is already provided in this app ...... Plz check once

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Ashish ™ 6 years, 11 months ago

Mycbseguide me solution h jakar check karo

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Find the nearest point on y-axis for (3,-5).

Posted by Saksham Kumar 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Yuvrah Singh 5 years, 8 months ago

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The eighth term of an A.P is half its second term and eleventh term exeed one third of its fourth term by 1 . Find the 15th term

Posted by Mervin Joel 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Anushka Jugran ? 6 years, 11 months ago

15th term is 3

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Gurjar Kabir (बैंसला) 6 years, 11 months ago

Sol......... A8=a+7d=a+d/2 ...... 2(a+7d)=a+d .......... 2a+14d= a+d 2a-a+14d-d=0 a+13d=0. ...... (i) A+10d=a+3d/3+1 . A+10d=(a+3d+3)/3 3(a+10d)=a+3d+3 3a-a+30d-3d-3=0 2a+27d=3. ... (ii) Solve (i)&(ii) Eq(i) multiply by 2 2a+26d=0......(iii) 2a+27d=3.......(iv) Solve (iii) & (iv) D=3 Put d in (i) A+39=0 A= -39**** D=3 A15=a+14d =. - 39+14(3)=. - 39+42=. 3 A15 is 3 Answer is 3 I hope this answer helps u

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find value of k for which one root of the quadratic equation kx2-14x+8 is six times d other

Posted by Arora . 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Anushka Jugran ? 6 years, 11 months ago

Most wlcm

1Thank You

Anushka Jugran ? 6 years, 11 months ago

Take alpha equal to 6 beta and put alpha +beta equal to - b/a and alphabeta equal to c/a than u will get two equations. U just need to solve that.

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Anushka Jugran ? 6 years, 11 months ago

K is equal to 3

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√x+y =9 x+√y=11 Find x and y

Posted by Deepak Shah 6 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

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Why root 2 is a irrational no.

Posted by Doleswar Patel 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Umidkiran Bhol 6 years, 11 months ago

As it has non terminating and non Repeating decimal expansion which can be said by performing long division

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How to pass in maths

Posted by Di Vya 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

| | | {R J } .....! ! !: ; 6 years, 11 months ago

Practice makes a man perfect

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State fundamental theorem of algorithm

Posted by Sarthak Popli 6 years, 11 months ago

CBSE > Class 10 > Mathematics

6 answers

Riya ? 6 years, 11 months ago

P (x) = g (x).q (x)+r (x).

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Dad'S Angel? 5 years, 8 months ago

Anyone is online????

1Thank You

Lionel Messi⚽️ 6 years, 11 months ago

Koi gal nahi ..

2Thank You

Puja Sahoo? 6 years, 11 months ago

Sorry its the fundamental theorem of arithmetic.

3Thank You

Puja Sahoo? 6 years, 11 months ago

H.c.f(a,b)×l.c.m(a,b) = a×b

3Thank You

Lionel Messi⚽️ 6 years, 11 months ago

The multiplications of positive integers..

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How to draw less than type ogive for the data and find the median

Posted by 4Ñãñï 4Ćhęřřÿ 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Dad'S Angel? 6 years, 11 months ago

By taking upper limit of the class [c.i] in x-axis and respective Cf as y-axis ☺☺

1Thank You

Neha Sirur 6 years, 11 months ago

Make a cumulative frequency table for the given frequency . Take the upper limit of each class in x acis and the respective cf as y axis

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A hall having carpet area of 300sqm with its length one metre more than its breadth find the length and breadth of the hall

Posted by Aryan Abrol 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Riya ? 6 years, 11 months ago

let the breadth be x and length be y x+y=300-----------equ(1) and y=x+1 -------equ (2) from 2 x+x+1=300 2x=299 x=299/2 (x=149.5 )------put in equ (2) so, y=149.5 +1 y=150.5

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In the given figure a semicircle is drawn with O as centre and AB as diameter. Semicircles are drawn with OA and OB as diameter. If AB=28m , find the perimeter of the shaded region

Posted by Neha Sirur 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Neha Sirur 6 years, 11 months ago

How should i send u that?

1Thank You

Yaar 6 years, 11 months ago

Figure kahan pr h neha ji

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What is the value of root5

Posted by Abhinav Jawandha 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Apoorva ☺ 6 years, 11 months ago

2.236

4Thank You

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Basic propertional theorm

Posted by Sara Dubey 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

. . 6 years, 11 months ago

It states that in a triangle a line drawn parallel to 1 side of a trianfle intersects the other 2 sides at 2 distinct points and the sides would be divided in equal ratio. Also known as thales theorem

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What is the multiple of 3

Posted by Gaurav Singh 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Adhya Singh 6 years, 11 months ago

A number that can be divide by 3 withiout any remainder

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Exams ki preparation

Posted by Isha Saini 6 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Pls tell ncert imp. Question

Posted by Amrutha Mohandas 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Amrutha Mohandas 6 years, 11 months ago

Only theorms???

1Thank You

Dipti Singh 6 years, 11 months ago

All theorms

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All formulas of surface areas and volumes

Posted by Shivani Sudeshi 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Yaar 6 years, 11 months ago

Google baba zinda baad??

2Thank You

Lionel Messi⚽️ 6 years, 11 months ago

Go to this app also for help..

2Thank You

Shriya ?? 6 years, 11 months ago

and if u can not found them then go to google for your answer?

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@ Aashu 6 years, 11 months ago

Ya it is there in ncert book

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Shubhendra Singh ? 6 years, 11 months ago

Available on NCERT

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Find the slope and y_intercept of the line y =3x-5

Posted by Suyash Moon 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

. . 6 years, 11 months ago

Slope class 10 mein nhi padhna

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16/x-10/x=27

Posted by Ummi Ruqeya 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Dipti Singh 6 years, 11 months ago

6/27

1Thank You

Divya Garg 6 years, 11 months ago

Let 1/x = p. Then the equation will be 16p-10p=27. 6p=27. Here, p=9/2. Now, 1/x=p therefore 1/x=9/2. Hence the value of x is 2/9

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If two vertices of an equilateral triangle be (0,0), (3,√3) find the third vertex

Posted by ????? ❤️ 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

. . 6 years, 11 months ago

Make the fig on a cartesian plane keep 1 vertex on origin and also draw an altitude on 1 side

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Puja Sahoo? 6 years, 11 months ago

As it is an equilateral triangle its all sides are equal, take, AB= AC,form an equation, and AB=BC another equation solve it. A(0,0) B(3,root3) C(x,y)

2Thank You

Anushka Jugran ? 6 years, 11 months ago

Can be solved by using distance formula.

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Ananyaa K 6 years, 11 months ago

A(0,0) B(3,√3) C(x,y) Equate AB=BC=AC

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????? ❤️ 6 years, 11 months ago

Pls koi answer karo urgent h

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Write the value of cotsquare -1/sinsquare