If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth

2 answers

Using the Pythagorean theorem, we can calculate the length of the other leg:

a^2 + b^2 = c^2

where:
a = length of one leg (6 ft.)
b = length of the other leg
c = length of the hypotenuse (12 ft.)

Substitute in the values we have:
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108

Taking the square root of both sides to solve for b:
b = √108
b ≈ 10.4 ft.

Therefore, the length of the other leg is approximately 10.4 ft.
there are two legs on a triagle on is 20 the othe is 30 what is the missing angle