Apply the Pythagorean Theorem to find the unknown side length in the given triangle. left side is 15, bottom is 3, Round, your answer to the nearest tenth.

1 answer

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

c^2 = a^2 + b^2

Where c represents the hypotenuse (the unknown side length), and a and b represent the other two sides.

In this case, the left side has a length of 15, and the bottom side has a length of 3. Let's assign those values to a and b:

a = 15
b = 3

Now we can substitute those values into the formula:

c^2 = 15^2 + 3^2
c^2 = 225 + 9
c^2 = 234

To find the value of c, we need to take the square root of both sides:

c ≈ √234
c ≈ 15.3 (rounded to the nearest tenth)

Therefore, the unknown side length (the hypotenuse) is approximately 15.3.