Question

ABC is similar to DEF

The measure of line segment DE is ......

Round to the nearest tenth.

Answer 1

DE ≈ 3.9 cm

Explanation:

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

`(DE)/(AB)` =
`(DC)/(AC)` ( substitute values )

`(DE)/(8.4)` =
`(8)/(17.2)` ( cross- multiply )

17.2 × DE = 8.4 × 8 = 67.2 ( divide both sides by 17.2 )

DE = 3.9 cm ( to the nearest tenth )