# In a triangle ABC , angle A=90 ,AB=5cm , AC=12cm.If AD is perpendicular to BC then AD = ?

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by garraybalaji

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by garraybalaji

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then area of triangle = (1/2)× 5×12 = 30 cm²

also, by Pythagoras' theorem,

BC² = AC² +AB²

=12² + 5² = 169

⇒

area of triangle = (1/2)× BC ×AD

⇒30 = (1/2)× 13×AD

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