The hypotenuse of an isosceles right triangle is 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.)

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

This gives:

Open bracket

Collect like terms

Using quadratic formula:

Split

x can not be negative.

So:

Recall that:

Hence, the dimensions are:

dd

step-by-step explanation:

dd