Find the length of the third side . If necessary round to the nearest tenth. One side 8 the other side is 16
F. 17.9
G. 24
H.13.9
To find the length of the third side of a triangle, you can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we have the lengths of two sides, 8 and 16. Let's label the unknown side as "x."
Using the Pythagorean theorem, we can set up the equation:
8^2 + x^2 = 16^2
Simplifying, we get:
64 + x^2 = 256
Subtracting 64 from both sides, we have:
x^2 = 192
To find x, we can take the square root of both sides:
x ≈ √192
Rounding to the nearest tenth, x ≈ 13.9
Therefore, the length of the third side is approximately 13.9.
The correct answer is H. 13.9