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Ask QuestionPosted by Ishita Kaushik 5 years, 2 months ago
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Posted by Pawan Kumar 5 years, 2 months ago
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Posted by Sonam Kumari Paswan 5 years, 2 months ago
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Sarthak Arya 5 years, 2 months ago
Saurabh ???? 5 years, 2 months ago
Posted by Sonam Kumari Paswan 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
p = (18 + 24 + 30) ÷ 2 = 36 cm
area = √p(p-a)(p-b)(p-c)
area = √36(36 - 18)(36 - 24)(26 - 30)
area = √46656
area = 216 cm²
area = 1/2 (base) (height)
216 = 1/2 (18) (height)
216 = 9 height
height = 216 ÷ 9 = 24 cm
The area is 216 cm² and the corresponding height is 24 cm
Posted by Sonam Kumari Paswan 5 years, 2 months ago
- 1 answers
Yogita Ingle 5 years, 2 months ago
Semiperimeter (s) = (42 + 34 + 20 ) / 2
So it is = 96 / 2 = 48 cm.
Using herons formula = (√s )(√s-a )(√s-b) (√s-c)
By substituting s and a , b , c i.e the given sides.
We have √48 × √6 × √14 × √28
So √ (4 × 6 × 2) × √6 × √(7 × 2) × √(7 × 4)
Simplifying the numbers we have area = 4 × 6 × 2 × 7 = 336 cm ²
Hence area is 336 cm²
Now height corresponding to longest side implies that base is 42 cm and area remains same
So area of triangle is 1/ 2 b × h
336 = 1/ 2 × 42 × H
HENCE H = 16 cm
So height is 16 cm .
Posted by Sonam Kumari Paswan 5 years, 2 months ago
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Posted by Arshpreet Kaur Sandhu 5 years, 2 months ago
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Yogita Ingle 5 years, 2 months ago
Let r be the radius of circle.
Difference between circumference and radius of circle = 37 cm
Circumference of circle = 2r
= 2 x 22/7 x r = 44/7 x r
Now,
Difference between circumference and radius of circle = 2r - r
37 = 44/7 x r - r
37 = r(44/7-1)
37 = r(44 - 7)/7
37 = 37 / 7 x r
37 x 7/37 = r
r = 7 cm
Now , Circumference of circle = 44/7 x r
= 44/7 x 7
= 44 cm .
∴ Circumference of circle = 44 cm
Posted by Radhika Shukla 5 years, 2 months ago
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Posted by Lakhan Sahu 5 years, 2 months ago
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Samyuktha Kocherlakota 5 years, 2 months ago
Posted by Abhishek Singh Gurjar X-B Roll No.-02 5 years, 2 months ago
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Samyuktha Kocherlakota 5 years, 2 months ago
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Yogita Ingle 5 years, 2 months ago
Since, 96 = 2 × 2 × 2 × 2 × 2 × 3
and, 404 = 2 × 2 × 101
So, HCF of 96 and 404 = Product of common prime factors
= 2 × 2 = 4
LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3
= 9696
Posted by Pranali Marnur 5 years, 2 months ago
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Posted by Anvi Pundir 5 years, 2 months ago
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Abhishek Singh Gurjar X-B Roll No.-02 5 years, 2 months ago
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Sarthak Pampatwar 5 years, 2 months ago
Kotadiya Kalpesh 5 years, 2 months ago
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Rohit Kumar 5 years, 2 months ago
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Rishabh Sharma 5 years, 2 months ago
Posted by Sonam Kumari Paswan 5 years, 2 months ago
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Pooja Choudhary 5 years, 2 months ago
Let breadth of rectangular park = x m
Therefore, length of park = 2x m
Perimeter = 840 m
2×(Length+Breadth) = 840
2×(x+2x)=840
2×3x = 840
6x = 840
x=840/6
x= 140 m
Length = 2x = 2×140 = 280 m
Breadth = x = 140 m
Area = length × breadth
= 280 × 140
= 39200 m²
Posted by Sonam Kumari Paswan 5 years, 2 months ago
- 1 answers
Pooja Choudhary 5 years, 2 months ago
Let length = x m
Breadth = 16 m
Perimeter = 80 m
2 × ( l + b ) = 80
2 × ( x + 16 ) = 80
x+16 = 80/2
x+16 = 40
x = 40-16 = 24
Length = 24 m
Area = length × breadth
= 24×16
= 384 m²
Posted by Mirza Shahid 5 years, 2 months ago
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Aditya Kumar 5 years, 2 months ago
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Aditya Kumar 5 years, 2 months ago
Posted by Ramana Kishore 5 years, 2 months ago
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Yogita Ingle 5 years, 2 months ago
To prove - OC║SR
Proof - In ΔOPS and ΔOAB
∠POS = ∠AOB (common in both)
∠OSP = ∠OBA (corresponding angles are equal as PS║AB)
=> ΔOPS ~ ΔOAB [AA criteria]
=> PS/AB = OS/OB ........................(1) (sides in similar triangles are proportional)
In ΔCAB and ΔCRQ
As, QR║AB
=> ∠QCR = ∠ACB (common)
=> ∠CBA = ∠CRQ (corresponding angles are equal)
=> ΔCAB ~ ΔCQR [AA criteria]
=> CR/CB = QR/AB (sides in similar triangles are proportional)
Also, PS = QR [ PQRS is parallelogram]
=> CR/CB = PS/AB ......................(2)
From (1) and (2)
=> OS/OB = CR/CB
=> OB/OS = CB/CR
Subtracting 1 from both sides
So, OB/OS - 1 = CB/CR - 1
=> (OB - OS)/OS = (CB - CR)/CR
=> BS/OS = BR/CR
By converse of Thales Theorem
=> OC║SR . Hence proved .

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