Question

Triangle FGH is similar to triangle IJK. Find IJ. Round your answer to the nearest tenth if

necessary. Figures are not drawn to scale.
H
17
F
23
G
x
K
58

Answer 1

Answer: 78.5

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Step-by-step explanation

The first two letters of FGH are FG

The first two letters of IJK are IJ

Therefore, FG and IJ pair up. They are corresponding sides.

We can form the ratio FG/IJ.

The first and last letters of FGH are FH

The first and last letters of IJK are IK

We form the ratio FH/IK

Those two ratios are the same because we have similar triangles.

Refer to the SSS similarity theorem for more information.

So,

FG/IJ = FH/IK

23/x = 17/58

23*58 = 17x

x = 23*58/17

x = 78.470588

x = 78.5