Question

∆ABC ~ ∆CDE, Find the value of X and y.
AB/DE = AC/CE = BC/CD
AB = y, DE = 6 cm, AC = X, CE = ?, BC = 24 cm and CD = 8 cm.

Answer 1

Step-by-step explanation:

Correct option is A)

Given, ∠ABC=∠DEC=90

∘

In △ABC and △DEC,

∠ABC=∠DEC (Each 90

∘

)

∠ACB=∠DCE (Common)

∠BAC=∠CDE (third angle)

Thus, △ABC∼△DEC

Hence,

DE

AB

=

DC

AC

3

9

=

24−AD

24

24−AD=8

AD=16 cm