Question
if a right traingle has a leg with the length 12, and hypotenuse is 16 how long is the other round to the nearest tenth if necessery
Answers
GPT 3.5
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, we are given one leg with a length of 12 (let's call it side a) and the hypotenuse with a length of 16 (let's call it side c). We need to find the length of the other leg (let's call it side b).
Using the Pythagorean theorem:
c^2 = a^2 + b^2
16^2 = 12^2 + b^2
256 = 144 + b^2
256 - 144 = b^2
112 = b^2
To find the length of side b, we need to calculate the square root of 112:
b = √112
b ≈ 10.6
Therefore, the length of the other leg of the right triangle is approximately 10.6, rounded to the nearest tenth if necessary.
In this case, we are given one leg with a length of 12 (let's call it side a) and the hypotenuse with a length of 16 (let's call it side c). We need to find the length of the other leg (let's call it side b).
Using the Pythagorean theorem:
c^2 = a^2 + b^2
16^2 = 12^2 + b^2
256 = 144 + b^2
256 - 144 = b^2
112 = b^2
To find the length of side b, we need to calculate the square root of 112:
b = √112
b ≈ 10.6
Therefore, the length of the other leg of the right triangle is approximately 10.6, rounded to the nearest tenth if necessary.