Question

Look at picture! In the Diagram, HI || KL

Determine the length of HJ and KJ
(Show all your work and round to the nearest tenth (one decimal place))
Answer: HJ =
I
KJ =
H
21
K
J
15
5
L

Answer 1

The missing sides in the figure are

HJ = 2.14

KJ = 6.43

How to find the missing sides

Examining the figure, the pair of equivalent sides are

HI and KL, IJ and JK, then HJ and JL

The solution is worked out using the proportions as follows

KL / HI = KJ / JI

9 / 21 = KJ / 15

KJ = 15 * 9/21

KJ = 6.43

Solving for HJ

KL / HI = HJ / JL

9 / 21 = HJ / 5

HJ = 2.14