9514 1404 393
Answer:
1. 2.5 N
2. 39 N
Explanation:
1. The side ratios are 1.5 : 2 = 3 : 4, so the third side of the triangle will be the one that makes the ratios 3 : 4 : 5 = 1.5 : 2 : 2.5.
T = 2.5 N
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2. The side ratios are 15 : 36 = 5 : 12, so the third side of the triangle will be the one that makes the ratios 5 : 12 : 13 = 15 : 36 : 39.
T = 39 N
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The point of learning about "special triangles" is that you can use the ratios of side lengths to solve other problems quickly and easily. Ratios are equivalent when every member of the ratio is multiplied by the same value.
In problem 1, the (3, 4, 5) triple is multiplied by 0.5.
In problem 2, the (5, 12, 13) triple is multiplied by 3.