ASVAB Practice Test

Question: 1 / 400

The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. Which equation can be used to find the length of the remaining side?

x^2 = 14^2 - 9^2

The correct choice is indeed the equation where x^2 equals 14^2 minus 9^2. In the context of a right triangle, the Pythagorean theorem applies, which states that the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of the hypotenuse is given as 14 units, and one of the other sides is 9 units.

According to the theorem, we can express it as:

hypotenuse^2 = side1^2 + side2^2

Rearranging this to find the remaining side (let's call it x) gives us:

x^2 = hypotenuse^2 - side1^2.

Substituting the values, we have:

x^2 = 14^2 - 9^2.

This correctly leads us to the equation used to find the length of the remaining side. The other choices either apply incorrect operations or formulations that do not align with the Pythagorean theorem.

Get further explanation with Examzify DeepDiveBeta

x^2 = 14^2 + 9^2

x^2 = 14 + 9

x^2 = 14 - 9

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