if the leg of a right triangle haves the lengh of 6 inches and 8
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
In this case, you have one leg with a length of 6 inches and the other leg with a length of 8 inches. Let's assume that the length of the hypotenuse is 'c'.
Using the Pythagorean theorem, you can set up the equation as follows:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 6^2 + 8^2
Simplifying:
c^2 = 36 + 64
c^2 = 100
To find the value of 'c', we take the square root of both sides of the equation:
c = √100
c = 10
Therefore, the length of the hypotenuse of the right triangle is 10 inches.