The hypotenuse is the side of a triangle opposite of a right angle. If you know the lengths of the two legs, or the two sides that are not the hypotenuse, you can use the Pythagorean Theorem to find the hypotenuse. This theorem states that the sum of each leg squared (a squared and b squared) equals the square of the hypotenuse (c squared).
a2 + b2 = c2
So:
402 + 242 = c2
1600 + 576 = c2
46.65 = c
So, if one leg is 40 feet, and the other is 24 feet, the hypotenuse is about 46.65 feet long.
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Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.
Ah, what a lovely question! To find the diagonal measurement of a square, we can use the Pythagorean theorem. So, for a square that is 24 feet by 24 feet, we can use the formula diagonal = √(side length squared + side length squared). Plugging in the values, we get diagonal = √(24^2 + 24^2) = √(576 + 576) = √1152 ≈ 33.94 feet.
34 if you round it
Each leg is 21.73 feet and the Hypotenuse is 30.73 feet. (0.73 feet is a whisker over 8¾ inches)
The length of the hypotenuse of a right triangle with legs of 7 cm and 24 cm is: 25 cm