Question

An isosceles right angled triangle has an area of 900 cm square . Then the length of the
hypotenuse is .

Answer 1

In an isosceles right angled triangle, the two sides on the right angle are equal

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a=a2+a2

​=2

​a

In  the isosceles right triangle, the base and height =a

Hence, area of the triangle =21​×base×height=

21​×a×a=200 sq cm

=>a2=400

=>a=20cm

And the hypotenuse  =2

​a=202

​cm

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