3. Solve for the missing side length (x). Round to the nearest tenth.
A right triangle has lengths of 20, 8 and x
336
-18.3
18.3
12.2
To find the missing side length (x), we can use the Pythagorean Theorem, which states that for a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, we have:
20^2 = 8^2 + x^2
400 = 64 + x^2
Subtracting 64 from both sides:
400 - 64 = x^2
336 = x^2
Taking the square root of both sides:
x = √336
x ≈ 18.3
Therefore, the missing side length is approximately 18.3 when rounded to the nearest tenth.