Math, asked by parth9367, 1 year ago

please solve this problem ​

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Answers

Answered by jakebiniojacob
1

Answer:

Step-by-step explanation:Construct a trapezium ABCD ,AB||CD,AB=7CM,BC=5CM ,CD=3CM,angleC=110°

ANSWER

Answered by jaasimjr
2

Step-by-step explanation:

Given:

∆FEC ∆FEC ≅ ∆GDB

EC= BD ( by CPCT)..........(1)

Given:

∠1= ∠2

AE AD ………….. …… ..(2)

(Sides opposite to equal angles are equal)

From eq 1 and 2

AE/EC = AD/BAD

DE || BC

(Converse of Basic proportionality Theorem)

∠1 = ∠3 and ∠2 = ∠4

[ Corresponding angles]

In ∆ADE and ∆ABC

∠A = ∠A        (Common)

∠1 = ∠3          (proved above)

∠2 = ∠4           (proved above)

∆ADE ~ ∆ABC   [ by AAA similarity criterion]

hence, proved!!


jaasimjr: thnx
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