In a right triangle, one side is 9 units in length, and the hypotenuse is 15 units in length. What is the length of the other side?
a^2 + b^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 225 - 81
b^2 = 144
b = ?
To find the length of the other side in a right triangle, we can apply 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 other two sides.
Let's use the Pythagorean theorem formula to find the missing side:
a^2 + b^2 = c^2
In this case, we have one side (a) with a length of 9 units, and the hypotenuse (c) with a length of 15 units. We want to find the length of the other side (b).
Plugging in the known values:
9^2 + b^2 = 15^2
81 + b^2 = 225
Now, we can solve for b^2 by subtracting 81 from both sides:
b^2 = 225 - 81
b^2 = 144
To find the value of b, we take the square root of both sides:
b = √144
b = 12
Therefore, the length of the other side in the right triangle is 12 units.