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Question

Find the lenght of the hypotenuse of an isosceles right-angled triangle whose area is 200 cm2. Also, find its perimeter. [Given, 2 = 1.41.]

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Solution

In an isosceles triangle,any two sides are equal.So,in this question, base=height or (b=h)

Area of ∆ =12×b×h

200=12×b2

400=b2

b=400=20

So, b=h=20

Hypotenuse =400+400=202=20×1.414=28.28

Perimeter = 20 + 20 + 28.28 = 68.28 cm


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