Question

Find the value of x and y

Answer 1

Explanation:

This are similar triangle

<ABD = <ACE

CE/BD = AE/AD

33/11 = 15/AD

Let AD be x

33/11 = 15/x

Cross multiply

33x = 11×15

33x = 165

x = 165/33

x = 5

AE = AD + DE

AE = 15, AD = x = 5 and DE = y

: 15 = 5 + y

y = 15 - 5

y = 10

BD/CE = AB/AC

11/33 = 9/(x+9)

Cross multiply

11(x+9) = 9(33)

11x + 99 = 297

11x = 297 - 99

11x = 198

x = 198/11

x = 18