please solve this problem
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Answer:
Step-by-step explanation:Construct a trapezium ABCD ,AB||CD,AB=7CM,BC=5CM ,CD=3CM,angleC=110°
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Answered by
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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