Question

Consider the triangle.

A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees.

Which statement is true about the lengths of the sides?

Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.

Answer 1

Two sides have the same length, which is less than the length of the third side.

Reason: A 45°-45°-90° triangle is isosceles, so the two legs are equal. The hypotenuse = leg × √2, so the hypotenuse is longer than each leg.