Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
To apply the Pythagorean Theorem, you need to have a right triangle, which is a triangle that has one angle measuring exactly 90 degrees (a right angle). The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's say you have a right triangle with side lengths a, b, and c. We want to find the length of one of the sides (let's call it x), which is unknown. The Pythagorean Theorem can be written as:
a^2 + b^2 = c^2
To find x, we need to rearrange the equation:
x^2 = c^2 - a^2
Once we have x^2, we can take the square root of both sides to find x:
x = √(c^2 - a^2)
To round the answer to the nearest tenth, you can use the appropriate rounding rule. If the digit after the tenths place is 5 or greater, round up. If it is less than 5, round down.
Now, you can plug in the values of a, b, and c from the given triangle into the equation and solve for x.