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Mathematics

Grade9

Easy

Question

In the given figure, AB = AC, AD = AE = 5 cm and DC = 8 cm. Length of EB is______.

3 cm
8 cm
7 cm
5 cm

hint Hint:

In this question it is given that AB =AC, AD=AE, and DC=8 cm we have to find the length of a side BE, this side is in the triangle ABE and CD is in the triangle ACD. So to find BE we will have to make the two triangles congruent after which we will get the length of BE.

The correct answer is: 8 cm

Length of EB=8cm.

$I n space increment A B E space a n d space increment A C D comma A B equals A C left parenthesis space g i v e n right parenthesis angle B A E equals angle C A D space left parenthesis c o m m o n right parenthesis A E equals A D equals 5 c m. S o comma space increment A B E approximately equal to increment A C D space left parenthesis S A S right parenthesis N o w space b y space c p c t comma B E space equals C D space a l s o space g i v e n space t h a t space C D equals space 8 c m comma space S o space B E equals 8 c m.$

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