In the adgining figures , triangle AHK is similar to triangle ABC, AK=10cm,BC3.5,HK=7cm . find Ac

Question

asked Oct 11, 2024 117k views

1 Answer

Teodor · Answer 1 · 2024-10-17T03:13:14+0000

Answer:

AC = 5 cm

Explanation:

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

(AC)/(AK) =
(BC)/(HK) ( substitute values into the equation )

(AC)/(10) =
(3.5)/(7) ( cross- multiply )

7 AC = 10 × 3.5 = 35 ( divide both sides by 7 )

AC = 5 cm