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29 August, 18:23

The hypotenuse of a right triangle is 15 cm, and the shorter leg is 9 cm. Find the length of the other leg.

a. 2 cmb. 5 cmc. 12 cm

d. 3 cm

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  1. 29 August, 19:17
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    When solving these types of problems just ignore the "shorter leg" or "longer leg" and focus on the lengths. Pythagorean's Theorem is used in this problem. Since a leg and hypotenuse length are given then you you set the problem up as 9^2+b^2=15^2. You then do the squares so that it is shown as this, 81+b^2=225. Next you need to subtract 81 on both sides of the equation to isolate the variable b (or the missing leg length) which leaves you with b^2=144. Next to isolate the variable completely you do the square root of both b^2 and 144 which leaves you with the answer b=12. The leg is 12cm long.
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