special right triangles. a special right triangle is a right triangle with some features that make...
TRANSCRIPT
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