Question

1. If AABD - AHGE and AC and HF are angle

bisectors, find x.

B

G

F

24

. م

X

35

E

14

H

Answer 1

9.6

Explanation:

Find the diagram attached. Using the similarity theorem of triangles

AC/AD = FH/EH

Given

AC = 24

AD = 35

FH = x

EH = 14

Substitute into the formula

24/35 = x/14

Cross multiply

35×x = 24×14

35x = 336

x = 336/35

x = 9.6

Hence the value of x is 9.6