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Name: _________________________
Geometry
Unit 5: Special Triangles
Section 3: Right Triangles
Parts of the Right Triangle

A triangle is right if one angle is ________ degrees.

In a right triangle, the other two interior angles each measure less than
__________ degrees, and together their sum is ________ degrees.

The side across from the right angle is called the ______________. The
other sides are called _________.

Draw a right triangle in the space below. Label the right angle, the legs,
and the hypotenuse.
Special Right Triangles: 30-60-90 Triangles

A 30-60-90 triangle has __________ angles that measure 30 and 60
degrees.

In a 30-60-90 triangle, the sides are always in this ratio:
______:_______;_______

The leg across from the 60 degree angle is always equal to n*______.

The leg across from the 30 degree angle is always equal to ______.

The hypotenuse is always equal to 2*_____.
Special Right Triangles: 45-45-90 Triangles

A 45-45-90 triangle has _______ angles that measure 45 degrees.

Another name for a 45-45-90 triangle is an _________ right triangle.

In a 45-45-90 triangle, the sides are always in this ratio:
_____:_______:______

The legs are always equal to ____ and the hypotenuse is always equal to
n*_______.
The Pythagorean Theorem

In a right triangle, the _________ of the hypotenuse is equal to the sum of
the ___________ of the legs.

The Pythagorean Theorem can be expressed as a2 + ____ = _____.

A and b represent the legs, and c represents the _________.