# geometry

the ratio of the side lengths of a triangle is 4:7:5 and its perimeter is 64 cm. What is the length of the shortest side?

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1. Ratios are usually good to set up like this:
4x+7x+5x=64 in this case. 4x = the shortest side, 7x = the longest side, and 5x = the middle side. Then solve for x.
16x+64
x=4
Then plug 4 back in for x to see what the individual side lengths are.
4*4=16 for the shortest side.

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2. The ratio of the lengths of a triangle is 3 :4 :5. If the shortest side of a triangle is 24 cm, find the total of the length of other two sides of this triangle.

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