To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the lengths of the legs are 6 in and 8 in.
Using the Pythagorean theorem, we have:
Hypotenuse^2 = 6^2 + 8^2
Hypotenuse^2 = 36 + 64
Hypotenuse^2 = 100
To find the length of the hypotenuse, we take the square root of both sides:
Hypotenuse = √100
Hypotenuse = 10
Therefore, the length of the hypotenuse is 10 inches.
if the legs of a right triangle have lengths of 6 in and 8 in, what is the length of the hypotenuse
1 answer
1 answer