Question

Similar Shapes

Triangle ABC is similar to triangle ADE

AC = 15cm

CE = 6cm

BC = 12.5cm

Work out the length of DE

Answer 1

DE = 17.5 cm

Explanation:

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

`(DE)/(BC)` =
`(AE)/(AC)` ( substitute values )

`(DE)/(12.5)` =
`(15+6)/(15)` =
`(21)/(15)` ( cross- multiply )

15 DE = 262.5 ( divide both sides by 15 )

DE = 17.5 cm