If a right triangle has side lengths of 9 and 12, how long is the hypotenuse?(1 point)
The length of the hypotenuse in a right triangle can be found using 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, the length of the hypotenuse can be calculated as:
√(9^2 + 12^2) = √(81 + 144) = √225 = 15
So the length of the hypotenuse is 15.
To find the length of the hypotenuse of a right triangle with side lengths of 9 and 12, you can use the Pythagorean Theorem. The formula for the Pythagorean Theorem is:
c^2 = a^2 + b^2
where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
Let's substitute the given values into the formula:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
To find the length of the hypotenuse, we need to find the square root of both sides:
c = √225
c = 15
Therefore, the length of the hypotenuse is 15 units.
To find the length of the hypotenuse in a right triangle given the lengths of the other two sides, you can use the Pythagorean theorem. The Pythagorean 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 lengths of the other two sides.
In this case, the given side lengths are 9 and 12. To find the length of the hypotenuse, you can use the equation:
hypotenuse^2 = 9^2 + 12^2
First, calculate the squares of the side lengths:
side1^2 = 9^2 = 81
side2^2 = 12^2 = 144
Next, add the squares together:
81 + 144 = 225
Now, take the square root of 225 to find the length of the hypotenuse:
hypotenuse = √225 = 15
Therefore, the length of the hypotenuse in the given right triangle is 15 units.