Question

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

c= centimeters

c, 70cm, 24cm

what's the steps?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the hypotenuse (c), we can use the Pythagorean theorem, which states that in a right-angled triangle, 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

where c is the length of the hypotenuse (unknown), and a and b are the lengths of the other two sides (70cm and 24cm in this case).

Substitute the values into the equation:

c^2 = 70^2 + 24^2
c^2 = 4900 + 576
c^2 = 5476
c = √5476
c ≈ 74.0 cm

Therefore, the length of the hypotenuse is approximately 74.0 centimeters.