Question

The leg of a 45 degrees - 45 degrees - 90 degrees triangle has a length of 18 units. What is the length of its hypotenuse ? Write your answer in simplest radical form. units

Answer 1

Answer:

Let side 1 and side 2 of the isosceles right triangle be x.

Apply the Pythagorean Theorem a2 + b2 = c2, where a and b are side 1 and 2 and c is the hypotenuse.

x2 + x2 = 2x2

Find the square root of each term in the equation

√x2 + √x2 = √(2x2)

x + x = x √2

Step-by-step explanation:

Therefore, the hypotenuse of a 45°; 45°; 90° triangle is x √2