Find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm².
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Question

Find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm2.

KnowledgeBoat · Accepted Answer

Let ABC be an isosceles right-angled triangle. Area = 200 cm2 Let, side AB = BC = x cm and hypotenuse AC = h cm We know that, Now, using the Pythagoras Theorem for the △ABC ⇒ AC2 = AB2 + BC2 ⇒ AC2 = (20)2 + (20)2 ⇒ AC2 = 400 + 400 ⇒ AC2 = 800 ⇒ AC = ⇒ AC = ⇒ AC = ⇒ AC = 20 × 1.414 ⇒ AC = 28.28 cm. Hence, length of hypotenuse = 28.28 cm.

Mathematics

Find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm².

Mensuration

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