Question
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessa
leg 32 mm, hypotenuse: 38 m
26.6m
20.5m
26.8m
49.7 m
leg 32 mm, hypotenuse: 38 m
26.6m
20.5m
26.8m
49.7 m
Answers
GPT 3.5
To find the length of the third side (the other leg) of the right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So, using the given values:
leg^2 + leg^2 = hypotenuse^2
32^2 + leg^2 = 38^2
1024 + leg^2 = 1444
leg^2 = 1444 - 1024
leg^2 = 420
leg ≈ √420
leg ≈ 20.5m
Therefore, the length of the third side (the other leg) of the right triangle is approximately 20.5 m.
So, using the given values:
leg^2 + leg^2 = hypotenuse^2
32^2 + leg^2 = 38^2
1024 + leg^2 = 1444
leg^2 = 1444 - 1024
leg^2 = 420
leg ≈ √420
leg ≈ 20.5m
Therefore, the length of the third side (the other leg) of the right triangle is approximately 20.5 m.