*You will be able to find the lengths of sides of special right triangles And

Leg:Leg:Hypotenuse Short Leg:Long Leg:Hypotenuse

In a triangle… We will use a reference triangle to set up a proportion then solve.

Right Triangle 1 1 This is our reference triangle for the

Right Triangle x x

3 3 x x EX: 1 Solve for x Let’s set up a proportion by using our reference triangle.

5 5 x x EX: 2 Solve for x

x x EX: 3 Solve for x

Right Triangle This is our reference triangle for the triangle. We will use a reference triangle to set up a proportion then solve.

Right Triangle x 2x2x 30  60 

60 30 x y 8 x y Ex: 1

60 30 x 24 Solve for x 24 2 x x = 24 x = 12 Ex: 2

60 30 x 14 2 x x = 14 x = 7 Ex: 3 y 14 2 y

60 30 x x x = 5 Ex: 4 y y 2 y = 10

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