Question

18/30
G
35 m
Find the value of x:
H
18 m
30 m

Answer 1

21 is the answer

Explanation:

from the figure it can be seen that

angle G = angle J

angle H = angle K and

angle I = angle L

thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means

`(hi)/(kl) = (gi)/(jl) \\ (18)/(30) = (x)/(35) \\ x = (18)/(30) * 35 \\ x = (3)/(5) * 35 \\ x = 3 * 7 \\ x = 21`