The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side. (hint: an isosceles right triangle is a right triangle whose legs are the same length.)

Given,
Hypotenuse of an right angle isosceles triangle is 11centimeters longer than the length of each side.
So Let, the sides of the isosceles right angle triangle are x,x, 11+x
In a right angle triangle
hypotenuse^2 = Side ^2 + side ^2
(11+x)^2 = x^2 +x^2
(11+x)^2= 2(x^2)
By solving
x=26.5
So the sides are 26.5,26.5 and 37.5

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