find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm
Using the Pythagorean theorem, we can find the length of the hypotenuse:
c² = a² + b²
where c is the hypotenuse and a and b are the legs of the right triangle.
Substituting the values given, we get:
c² = 9² + 12²
c² = 81 + 144
c² = 225
Taking the square root of both sides:
c = √225
c = 15
Therefore, the length of the hypotenuse of the right triangle is 15 cm.
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. 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 two legs.
In this case, the lengths of the legs are 9 cm and 12 cm. Let's call the length of the hypotenuse "c" cm. We can set up the equation as follows:
c^2 = 9^2 + 12^2
Simplifying the equation, we have:
c^2 = 81 + 144
c^2 = 225
To find the length of the hypotenuse (c), we need to take the square root of both sides of the equation:
c = √225
c = 15 cm
Therefore, the length of the hypotenuse of the right triangle is 15 cm.