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  3. What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?

What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?

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问题 What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?
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答案 The area of a triangle and the length of one of the legs of a right triangle are given. However, you need the length of both legs to use the Pythagorean theorem to determine the hypotenuse. Since you have the area, start there. For a triangle,[*]. You are given the base and area, so solve for the height: [*] Now you know the lengths of the two legs of the right triangle and can use the Pythagorean theorem (a2+b2=c2) to determine the hypotenuse: 92+122=c2 81+144=c2 225=c2 15=c. The hypotenuse is 15 cm.
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