Question

ASAP!! HELPP??!!!

Triangle XYZ is similar to triangle JKL.

Triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 13.92.

Determine the length of side LJ.

4.59
5.13
12.48
13.12

Answer 1

The answer would be approximately 13.12.

As the triangles XYZ and KLJ are similar triangles, their sides will be in proportion. That means XY/KL = YZ/LJ = XZ/KJ.

So, 8.7/KL = 7.8/LJ = 8.2/13.92.

As we need length LJ, take equations

7.8/LJ = 8.2/13.92

LJ = (8.2 / 13.92) * 7.8

LJ = 13.12

Answer 2

LJ = 13.12

Explanation:

given that the triangles are similar then the ratios of corresponding sides are in proportion , that is

`(LJ)/(ZX)` =
`(JK)/(XY)` ( substitute values )

`(LJ)/(8.2)` =
`(13.92)/(8.7)` ( cross- multiply )

8.7 × LJ = 8.2 × 13.92 = 114.144 ( divide both sides by 8.7 )

LJ = 13.12