Question

find the perimeter of a. isosceles right angled triangle having an area of 100 cm

Answer 1

if a right angled triangle is an isosceles triangle.

then base = perpendicular.

let base = x cm

area = 1/2 × x × x= 100

x^2 =100
x= 10√2 cm

then the length of the hypotenuse =√x^2 +x^2 = √2 x^2 = √2x

hypotenuse = √2 ×10√2 = 20 cm

thus the perimeter of the triangle 
=10√2 + 10√2+ 20
=20√2+20
=20 (√2+1)



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