Triangles ABC and ACD are similar. AB=5cm and AC=6cm Calculate the length of AD

Question

asked Nov 27, 2020 75.0k views

2 Answers

Suanmeiguo · Answer 1 · 2020-12-01T02:12:17+0000

Answer:

AD = 7.2 cm

Explanation:

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

(AB)/(AC) =
(AC)/(AD) , substituting values

(5)/(6) =
(6)/(AD) (cross- multiply )

5AD = 36 ( divide both sides by 5 )

AD = 7.2