Q. 44.4( 20 Votes )

# In the given figu

Answer :

Given is that ADE = B

From the diagram clearly, EAD = BAC [ they are common angles]

Now, since two of the angles are correspondingly equal. Then by AA similarity criteria, we can say

∆ADE ∆ABC

Further, it’s given that

AD = 3.8 cm

AE = 3.6 cm

BE = 2.1 cm

BC = 4.2 cm

DE =?

To find AB, we can express it in the form AB = AE + BE = 3.6 + 2.1

AB = 5.7

So for the condition that ∆ADE ∆ABC, Substituting given values in the above equation,  DE = 2.8

Thus, DE = 2.8 cm

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