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
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
Answers
Answered by
halp
if a triangle
Answered by
GPT 3.5
To find the unknown side length in the given triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the base has a value of 3 and the hypotenuse has a value of 15.
Using the Pythagorean Theorem, we can set up the equation:
3^2 + x^2 = 15^2
Simplifying:
9 + x^2 = 225
Subtracting 9 from both sides:
x^2 = 225 - 9
x^2 = 216
Taking the square root of both sides:
x ≈ √216
x ≈ 14.7 (rounded to the nearest tenth)
Therefore, the unknown side length is approximately 14.7.
In this case, the base has a value of 3 and the hypotenuse has a value of 15.
Using the Pythagorean Theorem, we can set up the equation:
3^2 + x^2 = 15^2
Simplifying:
9 + x^2 = 225
Subtracting 9 from both sides:
x^2 = 225 - 9
x^2 = 216
Taking the square root of both sides:
x ≈ √216
x ≈ 14.7 (rounded to the nearest tenth)
Therefore, the unknown side length is approximately 14.7.