Fill in the blank(s) to correctly complete each sentence.
An isosceles right triangle has one ________________ angle and ______________ equal sides.

Key Concepts

Isosceles Triangle

An isosceles triangle is defined as a triangle with at least two sides of equal length. In the context of an isosceles right triangle, this means that the two legs (the sides that are equal) form the right angle, while the third side is the hypotenuse. This property is crucial for understanding the triangle's geometry and calculating its dimensions.

Right Angle

A right angle is an angle that measures exactly 90 degrees. In an isosceles right triangle, one of the angles is a right angle, which is significant because it allows the application of the Pythagorean theorem. This theorem relates the lengths of the sides of the triangle, providing a foundation for solving various problems involving right triangles.

Properties of Isosceles Right Triangles

Isosceles right triangles have specific properties that simplify calculations. The angles in such a triangle are 90 degrees, 45 degrees, and 45 degrees, meaning the two equal sides are opposite the 45-degree angles. This relationship allows for easy computation of side lengths using ratios, such as the fact that the hypotenuse is √2 times the length of each leg.