Question

Use the Pythagorean Theorem Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.

A right triangle shows the base with a value of 3, the hypotenuse on the left with a value of 15, and the perpendicular side to the base on the right with a question mark.

Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.

(1 point)
Responses

234
234

216
216

15.3
15.3

14.7
14.7
Skip to navigation

Answer 1

To apply the Pythagorean Theorem, we can use the formula:

c^2 = a^2 + b^2

where c is the hypotenuse and a and b are the other two sides (legs) of the triangle.

In this case, we know that the hypotenuse is 15 and one of the legs is 3. Let's call the other leg x.

Using the formula, we can write:

15^2 = 3^2 + x^2

225 = 9 + x^2

Simplifying this equation, we get:

x^2 = 225 - 9

x^2 = 216

Taking the square root of both sides, we find:

x = √216

Rounded to the nearest tenth, x ≈ 14.7

Therefore, the unknown side length is approximately 14.7.