Question

An isosceles right triangle has legs of equal length. If the hypotenuse is 20 centimeters long, each leg's length is 10√2 centimeters.

Answer 1

Each leg of the isosceles right triangle has a length of 10 centimeters.

Step-by-step explanation:

An isosceles right triangle has two legs of equal length. Let's call the length of each leg 'x'.

According to the Pythagorean theorem, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, we have the equation:

x^2 + x^2 = (10√2)^2

2x^2 = 200

x^2 = 100

x = √100

x = 10

Therefore, each leg of the isosceles right triangle has a length of 10 centimeters.