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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?
admin
2013-02-19
45
问题
What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm
2
?
选项
答案
15
解析
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, A = 1/2(base)×(height). You are given the base and area, so solve for the height:
54 =1/2(9)×(height)
height = 12
Now you know the lengths of the two legs of the right triangle and can use the Pythagorean theorem(a
2
+ b
2
= c
2
)to determine the hypotenuse:
9
2
+ 12
2
= c
2
81 + 144 = c
2
225 = c
2
15 = c
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