One of the legs of a right triangle measures 12 cm and its hypotenuse measures 15 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
We can use the Pythagorean theorem to solve for the missing leg. Let's call the missing leg "x":
a^2 + b^2 = c^2
where a and b are the legs of the right triangle, and c is the hypotenuse. Plugging in the values we know, we get:
12^2 + x^2 = 15^2
144 + x^2 = 225
Subtracting 144 from both sides, we get:
x^2 = 81
Taking the square root of both sides, we get:
x = 9
Therefore, the other leg of the right triangle measures 9 cm.
To find the measure of the other leg of the 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 is equal to the sum of the squares of the lengths of the other two sides.
Let's assume the length of the other leg is x cm.
According to the Pythagorean theorem, we have:
x^2 + 12^2 = 15^2
Simplifying this equation, we get:
x^2 + 144 = 225
Subtracting 144 from both sides, we have:
x^2 = 225 - 144
x^2 = 81
Taking the square root of both sides, we get:
x = √81
x = 9
Therefore, the measure of the other leg of the right triangle is 9 cm.