Question

15

15
?
page
3
Apply the Pythagorean Theorem to find the unknown side length in the given
triangle. Round your answer to the nearest tenth.
(1 point)
○ 234
O 15.3
○ 216
O 14.7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the unknown side length, 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 other two sides.

Let's use the Pythagorean theorem:

a^2 + b^2 = c^2

Where:
a and b are the lengths of the two shorter sides (legs)
c is the length of the hypotenuse

Given:
- Length of one leg: 15
- Length of the hypotenuse (unknown): x

Substitute the known values into the equation:

15^2 + 15^2 = x^2
225 + 225 = x^2
450 = x^2

Take the square root of both sides to solve for the length of the hypotenuse:

x = √450
x ≈ 21.2 (rounded to the nearest tenth)

So, the length of the unknown side in the given triangle is approximately 21.2.