We can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let c be the length of the hypotenuse.
According to the Pythagorean theorem, we have:
c^2 = a^2 + b^2
where a and b are the lengths of the legs of the right triangle.
Substituting a = 6 inches and b = 8 inches, we have:
c^2 = 6^2 + 8^2
= 36 + 64
= 100
Taking the square root of both sides, we have:
c = √100
= 10
Therefore, the length of the hypotenuse is 10 inches.
The lengths of the legs of a right triangle are 6 inches and 8 inches. What is the length of the hypotenuse?
1 answer
1 answer