Question

GIVEN:

AC = 6 cm, AB = 12 cm, BC = 15 cm

CE = 8 cm, CD = 20 cm, ED = 16 cm

PROVE:

Angle B is congruent to Angle D

Answer 1

Answer:





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Question



In the figure ∠A=∠CED,CD=8cm,CE=10cm,BE=2cm,AB=9cm,AD=bandDE=a. The value of a+b is





A

13cm

Correct Answer

B

15cm

C

12cm

Your Answer

D

9cm

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Solution



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Correct option is A)

According to given statements,

△ACB and △ECD, are the similar triangles by AA criterion.

Therefore, their sides are in proportion,

So,

ECAC=CDCB=DEBA

=>  108+b=812=a9

On solving these , we get,

b=7  and  a=6

Therefore, 

a+b=13