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Ratio of triangle properties
CONCEPTS
What does sides are proportional mean?
• Corresponding sides are proportional to one another, a/p = b/q = c/r
• Corresponding sides have the same ratio, a : p = b : q = c : r
PRACTICE PROBLEMS
Question 1 2 similar right triangles have legs with a ratio of 2:3. One triangle has a hypotenuse of 5. What's the hypotenuse of the smaller triangle?
-- Answer -- x = 15/2
2/3 = 5/x, x = 15/2
Question 2 2 similar triangles have perimeters in a ratio of 2:1. The leg lengths of the larger triangle are 3, 4, 5. What is the perimeter of the smaller triangle?
-- Answer -- x = 6
2/1 = 12/x x=6
ACT PRACTICE PROBLEMS
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