SOLUTION: how do you find the length of a hypotenuse to the nearest tenth of a right triangle that has the shortest length being 15 ft & the area is 225 ft?

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Question 309158: how do you find the length of a hypotenuse to the nearest tenth of a right triangle that has the shortest length being 15 ft & the area is 225 ft?
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
You know that the formula for Area of a triangle is A=bh/2, where b=base and h=height.

In this question, let's make the base 15 ft. A=225 ft^2
Use the formula:
A=bh/2
225=(15)h/2
450=15h
h=30

So the height is 30. This makes a right triangle with legs 15 and 30. Use Pythag's theorem to find the hypotenuse.


15^2 + 30^2 = c^2
225 + 900 = c^2
c = 33.5 ft