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Please Help due today

Please Help due today-example-1
User Duncan Babbage
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1 Answer

8 votes
8 votes

Answer:

x = 9

Explanation:

You want the length of the hypotenuse in the right triangle with one hypotenuse segment of length 4 and altitude to the hypotenuse of length 2√5.

Geometric mean

The altitude of the triangle is the geometric mean of the segments of the hypotenuse:

2√5 = √(4·(x-4))

4·5 = 4·(x -4) . . . . . . square both sides

5 = x -4 . . . . . . . divide by 4

9 = x . . . . . . . add 4

The length of x is 9 units.

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User Joachim Lous
by
2.5k points