In Fig.,△AHK is similar to △ABC.If AK = 10 cm, BC = 3.5 cm and HK – InterviewSolution

1.

In Fig.,△AHK is similar to △ABC.If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.

Answer»

Given

ΔAHK ~ ΔABC, AK = 10 cm,

BC = 3.5 cm and HK = 7 cm.

We know that two triangles are similar if their corresponding sides are proportional.

⇒ \(\frac{AC}{AK}\) = \(\frac{BC}{HK}\)

⇒ \(\frac{AC}{10}\) = \(\frac{3.5}{7}\)

∴ AC = 5 cm

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