SPECIAL RIGHT TRIANGLES

• A special right triangle is a right triangle with some features that make calculations on the triangle easier.

WHAT ARE SPECIAL RIGHT TRIANGLES?

• 45-45-90

• 30-60-90

TYPES OF SPECIAL RIGHT TRIANGLES

• It has legs that are equal length.• The hypotenuse is always the longest side

and is opposite the right angle.• The length of the hypotenuse equals leg

length√2.• The length of one leg of a 45-45-90

triangle equals hypotenuse/√2.• The formula for finding area equals

½(leg)2.• Also known as an isosceles right triangle.• Ratio equals 1:1:√2.• Two 45-45-90 triangles create a square.

PROPERTIES OF 45-45-90

• A 30-60-90 triangle has angle measures of 30 degrees, 60 degrees, and 90 degrees.

• Ratio equals 1:sqrt(3):2.• The short leg is always opposite the 30

degree angle.• The hypotenuse is twice as long as the

shorter leg.• The longer leg is the square root of 3

times the shorter leg.• Formed by when an altitude is drawn

from a vertex of an equilateral triangle, forming two congruent right triangles.

PROPERTIES OF 30-60-90

• http://www.mathwarehouse.com/geometry/triangles/right-triangles/special-right-triangles.php

• http://www.gradeamathhelp.com/45-45-90-triangle.html

• http://www.moomoomath.com/30-60-90-Triangles.html

REFERENCES