If a right triangle has side lengths of 9 and 12, how long is the hypotenuse?(1 point)
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, in this case, the hypotenuse^2 = 9^2 + 12^2;
The hypotenuse^2 = 81 + 144;
The hypotenuse^2 = 225.
To find the length of the hypotenuse, you need to take the square root of both sides: hypotenuse = sqrt(225) = 15.
Therefore, the length of the hypotenuse is 15.
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 other two sides (a and b).
In this case, the lengths of the sides of the right triangle are given as 9 and 12. Let's label the side of length 9 as "a" and the side of length 12 as "b."
According to the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Substituting the given values, we have:
c^2 = 9^2 + 12^2
Simplifying:
c^2 = 81 + 144
c^2 = 225
To find the value of c, we need to take the square root of both sides of the equation:
c = sqrt(225)
Calculating the square root of 225, we get:
c = 15
Therefore, the length of the hypotenuse of the right triangle is 15 units.
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have a right triangle with side lengths of 9 and 12. Let's label the hypotenuse as "c" and the other two sides as "a" and "b" (where "a" has length 9 and "b" has length 12). Now we can apply the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Taking the square root of both sides gives us:
c = √225
c = 15
Therefore, the length of the hypotenuse is 15 units.