Question

Two similar triangles, ABC and A JKL, are shown.

B
3.5
5
A 2.5 C
What is the length of side JL?
?
I 15
10.5

Answer 1

JL = 7.5

Explanation:

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

`(JL)/(AC)` =
`(JK)/(AB)` ( substitute values )

`(JL)/(2.5)` =
`(10.5)/(3.5)` ( cross- multiply )

3.5 × JL = 2.5 × 10.5 = 26.25 ( divide both sides by 3.5 )

JL = 7.5