The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg.
6 cm
12 cm
17 cm
144 cm
2012 and still no answers?? please guys i need these answers ;-;
Y’all not helpful-
Sjdudjjdixjdej
a^2 + b^2 = c^2
a^2 + 9^2 = 15^2
Solve for a.
144 cm?
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In this case, we are given the length of the hypotenuse (15 cm) and one leg (9 cm). Let's call the length of the other leg "x".
Using the Pythagorean theorem, we have:
9^2 + x^2 = 15^2
Simplifying this equation, we get:
81 + x^2 = 225
To solve for "x", we need to isolate it on one side of the equation. Subtracting 81 from both sides:
x^2 = 144
Next, we take the square root of both sides to get:
x = √144
The square root of 144 is 12.
Therefore, the length of the other leg of the right triangle is 12 cm.
So the correct answer is 12 cm.