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23. Find x.
25
144

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23. Find x. 25 144 help me-example-1

1 Answer

4 votes

Answer:

65 units

Explanation:

Use the altitude to the hypotenuse theorems.

If an altitude is drawn to the hypotenuse of a triangle, then we are dealing with similar triangles.

We know that the triangle with hypotenuse x and leg 25 is similar to the larger right triangle in the back because they share 2 common angles (a right angle and the angle formed by sides x and 25).

Next, we need to set up a proportion.

x/25 = 169/x because the corresponding sides of similar triangles are proportional.

Next, we must cross multiply to get that x^2 = 169x25

We take the square root of both sides to get 65.

Answer: 65 units

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