A Right triangle has legs of 16 and 2 determine the hypotenuse length. Round to one decimal point.

1 answer

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the length of one leg as 'a' (16 in this case) and the length of the other leg as 'b' (2 in this case).

According to the Pythagorean theorem:
c^2 = a^2 + b^2

Substituting the given values,
c^2 = 16^2 + 2^2
c^2 = 256 + 4
c^2 = 260

To find the length of the hypotenuse (c), take the square root of both sides:
c = sqrt(260)

Calculating this gives a hypotenuse length of approximately 16.1 (rounded to one decimal point).

Therefore, the hypotenuse length is approximately 16.1.