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Find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm2
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Find the length of hypotenuse of an isosceles right angled triangle, having an area of 200 cm2
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Step-by-step explanation:
In a right isosceles triangle, base = height = a
Therefore, Area of a triangle = 1/2 x base x height
= 1/2 x a x a
= 1/2 a2
Further, given that area of isosceles right triangle = 200 cm2
In an isosceles right triangle, two sides are equal
(a) and the third side is the hypotenuse, i.e
There for c = √a²+a²
= √2a²
= a√2
= 20 x 1.41
= 28.2cm
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