Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm.
A.8cm
B.21cm
C.15 cm
D.225cm
9^2+12^2= 255
sqrt 255
= C. 15
15^2 = 225, not 255
but 15 is correct.
Remember your basic 3-4-5 right triangle?
scale it up by a factor of 3 and you get 9-12-15
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. It 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.
Let's denote the length of one leg as a and the length of the other leg as b. In this case, a = 9 cm and b = 12 cm.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the values:
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
To find c, the length of the hypotenuse, we can take the square root of both sides of the equation:
c = √225
c = 15
Therefore, the length of the hypotenuse of the right triangle is 15 cm.
The answer is C. 15 cm.