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search-icon-header Search for questions & chapters search-icon-image Class 10 >>Maths >>Triangles >>Basic Proportionality Theorem (Thales Theorem) >>Prove that \"In a trapezium, the line jo Question Bookmark Prove that "In a trapezium, the line joining the mid points of non-parallel sides is (i) parallel to the parallel sides and (ii) Half of the sum of the parallel sides" 564297 expand Easy Solution verified Verified by Toppr Data: In the trapezium ABCD, AD || BC, AX = XB and DY = YC To Prove: (i) XY || AD or XY || BC (ii) XY = 2 1 (AD + BC) Construction: Extend BA and CD to meet at Z. Join A and C. Let it cut XY at P Proof: (i) In △ZBC,AD∣∣BC [∵ Data] ∴ AB ZA = DC ZD [∵ BPT] ∴ 2AX ZA = 2DY ZD [∵ X & Y are mid points of AB and DC] ∴ AX ZA = DY ZD ⇒XY∣∣AD [∵ Converse of B.P.T.] (ii) In △ABC,AX=XB [∵ Data] XP∣∣BC [∵ Proved] ∴AP=PC [∵ Converse of mid point theorem] ∴XP= 2 1 BC [∵ Midpoint Theorem] In △ADC,PY= 2 1 AD By adding, we get XP+PY= 2 1 BC+ 2 1 AD ∴XY= 2 1 (BC+AD)

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Meaning of course

Posted by Sadab Khan 2 years, 9 months ago

CBSE > Class 09 > Mathematics

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Hii, friends?

Posted by K_Hushii 🍁 2 years, 9 months ago

CBSE > Class 09 > Mathematics

4 answers

Piyush ❤️ 2 years, 9 months ago

Ha bhaii mere haii

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Aman Harsh 2 years, 9 months ago

Hello ?

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Sandhya Singh 2 years, 9 months ago

Ha kiya I'd du kya

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Sanket .........✨ 2 years, 9 months ago

Hanji bolo , yr aapne download kiya kya Insta ?

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(231) ² -(131) ²

Posted by Ayush Kumar 2 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Ayush Kumar 2 years, 9 months ago

Thnks arshia

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Arshia .. 2 years, 9 months ago

Use identity:- a²-b² > (a+b) (a-b)

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What is an irrational number

Posted by Sunny Kumar Gupta 2 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Prajit 2 years, 9 months ago

An irration number is a type of real numbers which cannot be written in the form p/q.

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construct triangle xyz in which y z is equal to 7 cm angle b is equal to 60 degree and x square minus x z is equal to 3 cm write the steps of construction

Posted by Yash Boliya 2 years, 9 months ago

CBSE > Class 09 > Mathematics

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How 2+2=5 prove

Posted by Anjani Yadav Yadav 2 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Prajit 2 years, 9 months ago

I heard somewhere , that multiplying and dividing some numbers with 4 and 5 will give the same answer so they proved that 4=5 and so this one came: 2+2=5 from 2+2=4.

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Utpal More 2 years, 9 months ago

2+2 will always be 4, it can't be 5, use your fingers

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A coins is tossed one find the propelite of getting a head

Posted by Gulapsha Khan 2 years, 9 months ago

CBSE > Class 09 > Mathematics

3 answers

Devansh Tiwari 2 years, 9 months ago

1/2

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Sheikh Dilawar 2 years, 9 months ago

Head

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Shivansh Shrivastava 2 years, 9 months ago

1/2

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The complementary angle of 35⁰? Justify your answer

Posted by Mr Dark 2 years, 9 months ago

CBSE > Class 09 > Mathematics

5 answers

Garima Chaudhary 2 years, 9 months ago

90-35=55°

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Prajit 2 years, 9 months ago

Its 55° bro ,if you add two complement angles means you will get 90° and if you add two supplementary angles means you will get 180° simple bro?.

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Devansh Tiwari 2 years, 9 months ago

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Vinayak Maurya 2 years, 9 months ago

145

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Shivansh Shrivastava 2 years, 9 months ago

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Factorise 3x - 5x - 4

Posted by Siddhi Maheshwari 2 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Anurag Shrivastav 2 years, 9 months ago

x=-2

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Hlo friends ❤️?

Posted by Piyush ❤️ 2 years, 9 months ago

CBSE > Class 09 > Mathematics

3 answers

Piyush ❤️ 2 years, 9 months ago

Haa yr pr ham apke friend ka kyaa kr ruga friends ap hu yrr

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Piyush ❤️ 2 years, 9 months ago

Hii Khushi

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Prajit 2 years, 9 months ago

Piyush?

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Factorise using factor theorem x³-3x²-10x+24

Posted by Arnav Gupta 2 years, 9 months ago

CBSE > Class 09 > Mathematics

2 answers

Himanshi Choudhary 2 years, 9 months ago

Hi, Factors of x³-3x²-10x+24 Factors of x³-3x²-10x+24= (x-2)(x-4)(x+3) Step-by-step explanation: Let the polyomial p(x)=x³-3x²-10x+24 = x³+(-2x²-x²)+(2x-12x)+24 =(x³-2x²)+(-x²+2x)+(-12x+24) =x²(x-2)-x(x-2)-12(x-2) =(x-2)(x²-x-12) =(x-2)(x²-4x+3x-12) =(x-2)[x(x-4)+3(x-4)] =(x-2)[(x-4)(x+3)] =(x-2) (x-4) (x+3) Therefore, Factors of x³-3x²-10x+24 = (x-2)(x-4)(x+3) Hope this help you!! Thankyou

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Piyush ❤️ 2 years, 9 months ago

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(-1)^3-(-1)^2-(2+√2)-1+√2

Posted by Aarushi Mehto 2 years, 9 months ago

CBSE > Class 09 > Mathematics