What is the length of the hypotenuse? If necessary, round to the nearest tenth.

c=Meters

c=2.7m, 8.9m

1 answer

To find the length of the hypotenuse (c) in a right-angled triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

c^2 = a^2 + b^2

Given:
a = 2.7m
b = 8.9m

Substitute the values of a and b into the formula:

c^2 = 2.7^2 + 8.9^2
c^2 = 7.29 + 79.21
c^2 = 86.5

To find the length of the hypotenuse, take the square root of both sides:

c = √86.5
c ≈ 9.3 meters

Therefore, the length of the hypotenuse is approximately 9.3 meters.