In an isosceles triangle ABC, AB = AC = 25 cm, BC = 14 cm. Calculate t – InterviewSolution

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1.

In an isosceles triangle ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the altitude from A on BC.

Answer»

We have,

AB = AC = 25cm

BC = 14cm

In ⊿ ACD and ⊿ ABD

∠ADB =∠ADB = 90

AB = AC = 25cm

AD = AD (Common)

⊿ ABD ≅∠ACD

∴BD = CD = 7cm (By c.p.c.t)

In ⊿ACD

AB² = AD² + BD²

25²= AD² + 72

625 = AD²+ 49

AD² = 625 - 49

AD² = 576

AD = \(\sqrt{576}\)

AD = 24 cm

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