Download Notes 8.2 Part 1 45-45-90 Triangles

Notes 8.2 Part 1
45-45-90 Triangles
Objective: To use 45-45-90 triangle properties to solve for
missing side lengths.
Label what you know about a 45-45-90 triangle.
Get into groups of 2 or 3 and complete the following:
1. Sketch four isosceles right triangles (45-45-90).
2. Pick four different whole numbers for the lengths of the legs
of each triangle.
3. Use the Pythagorean Theorem to find the lengths of the
hypotenuse of each triangle. (If you do not get a whole number as
your answer, leave it in simplified radical form.)
4. Do you see a pattern or relationship between the lengths of
the legs and the hypotenuse of in these triangles?
5. Write a formula for finding the lengths of the sides of a
45-45-90 triangle, based upon what you came up with in step 4.
45-45-90 Triangle Rules
Solve for x and y.
y
x
45
3
o
What is the length of the hypotenuse of a 45-45-90 triangle with
leg length 5√3?
The length of the hypotenuse of a 45-45-90 triangle is 10.
What is the length of one leg?
Extra Practice Problems