# Geometry - Ratio and Proportion

1.The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side.

2.Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.

a. If a= 3cm and b = 4 cm, find c

b. If a=6 yd and c= 11 yd, find b

Answer this question and explain.

Is the triangle with sides of the following lengths a right triangle?

c. 15cm, 20cm, 25 cm

D. Refer to a triangle 45degrees, -45 degrees, -90 degrees

If a= 10 ft , find c

Refer to a triangle 30 degrees, -60 degrees, -90 degrees.

If b =10 ft, find c

If b=7cm, find a

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#### Solution Preview

(1) Let the sides be 3x, 4x and 5x

By data, 3x + 4x + 5x = 90

12x = 90

x = 90/12 = 7.5

The sides are 3(7.5) = 22.5 cm, 4(7.5) = 30 cm and 5(7.5) = 37.5 ...

#### Solution Summary

The expert examines the ratio and proportion geometry.