To find the missing side of the right triangle, we can use the Pythagorean theorem, which 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 call the missing side x.
Using the given values in the triangle, the equation becomes:
7^2 + 13^2 = x^2
49 + 169 = x^2
218 = x^2
To solve for x, we need to take the square root of both sides of the equation:
√218 = x
Using a calculator to evaluate the square root of 218, we find that x ≈ 14.8.
Rounded to the nearest tenth, the missing side is approximately 14.8.
Finding the missing side of the right triangle. Round your answer to the nearest tenth.
7 13 x
1 answer