To find the unknown side length, you can use the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, in this case, we can use the formula:
a^2 + b^2 = c^2
where a and b are the two legs of the triangle, and c is the hypotenuse.
Given that the base has a value of 3 and the hypotenuse has a value of 15, we can substitute these values into the formula:
3^2 + b^2 = 15^2
9 + b^2 = 225
Now, to find b, we can subtract 9 from both sides:
b^2 = 225 - 9
b^2 = 216
Taking the square root of both sides:
b = √216
b ≈ 14.7
Therefore, the unknown side length is approximately 14.7, so the correct answer is 14.7.
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
14.7
14.7
15.3
15.3
216
1 answer