# 45-45-90 Special Right Triangles Assignment Sheet

Product Description

Special Right Triangles Thanksgiving Riddle Worksheet

This riddle worksheets covers setting up and solving equations involving the 45-45-90 and 30-60-90 special right triangles. Students are asked to set-up and solve equations to find missing sides. When they find x, they find their answer in the solution box to find the corresponding letter to solve the Thanksgiving riddle.

The worksheet includes 15 problems as well as an answer key.

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Although all right triangles have special features– trigonometric functions and the Pythagorean theorem. The most frequently studied right triangles, the special right triangles, are the 30,60,90 Triangles followed by the 45 45 90 triangles.

### The 30 60 90 Special Right Triangle

The picture below illustrates the general formula for the 30 60 90 Triangle.

### Practice Using Special Right Triangles

##### Problem 1

What is the value of z in the triangle below?

(Don't use the Pythagorean theorem . Use the properties of special right triangles described on this page)
z

The 30$$^{\circ}$$ and 60$$^{\circ}$$ angles give this one away. x = 6
2x =12
z = $$x \sqrt{3} = 6\sqrt{3}$$

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