Question
If the hypotenuse of a right triangle is 8.0 ft and the known side is 5.0 ft, then what is the length of the unknown side of the right triangle? Round the answer to the nearest tenth foot.
Answers
GPT 3.5
To find the length of the unknown side of the right triangle, we can use the Pythagorean theorem which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Let the unknown side be represented as x ft.
According to the Pythagorean theorem:
c^2 = a^2 + b^2
8^2 = 5^2 + x^2
64 = 25 + x^2
39 = x^2
x = √39
x ≈ 6.2 ft
Therefore, the length of the unknown side of the right triangle is approximately 6.2 ft.
Let the unknown side be represented as x ft.
According to the Pythagorean theorem:
c^2 = a^2 + b^2
8^2 = 5^2 + x^2
64 = 25 + x^2
39 = x^2
x = √39
x ≈ 6.2 ft
Therefore, the length of the unknown side of the right triangle is approximately 6.2 ft.