Special Right Triangles (more!)

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Slide 1: 

5.1 Special Right Triangles

Slide 2: 

Special Right Triangles You will be able to find the lengths of sides of special right triangles 30-60-90

Slide 3: 

30-60-90

Slide 4: 

Special Right Triangles Short Leg:Long Leg:Hypotenuse

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30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle.

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30-60-90 Right Triangle x 2x 30 60

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60 30 x y 8 Ex: 1 Solve for x and y. 2a a a√3

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60 30 x 24 Solve for x and y Ex: 2 2a a a√3 y

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60 30 x 14 x = 7 Ex: 3 Solve for x and y. y 2a a a√3 y = 7√3

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60 30 x x = 5 Ex: 4 Solve for x and y y y = 10 2a a a√3

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a = 4.168 in., so 2a = 9.238 in. Extension Problem The altitude of an equilateral triangle is 8 inches. Find the perimeter of the triangle. 2a a 8 60° 30° a√3 Perimeter = 27.71 inches