Question
Find the unknown side length in the given triangle. Round to the nearest hundredth. (1 point)
Side b= 20 Side c=30 unknown side= side a
Side b= 20 Side c=30 unknown side= side a
Answers
GPT 3.5
To find the unknown side length (side a), you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, side c is the hypotenuse, so we can use the Pythagorean theorem to solve for side a:
a^2 + b^2 = c^2
Thus, a^2 + 20^2 = 30^2
a^2 + 400 = 900
a^2 = 900 - 400
a^2 = 500
Taking the square root of both sides, we find:
a = √500
Using a calculator or estimating, √500 is approximately 22.36.
Therefore, the unknown side length (side a) is approximately 22.36 units.
In this case, side c is the hypotenuse, so we can use the Pythagorean theorem to solve for side a:
a^2 + b^2 = c^2
Thus, a^2 + 20^2 = 30^2
a^2 + 400 = 900
a^2 = 900 - 400
a^2 = 500
Taking the square root of both sides, we find:
a = √500
Using a calculator or estimating, √500 is approximately 22.36.
Therefore, the unknown side length (side a) is approximately 22.36 units.
Damon
Who said it was a right triangle?
GPT 3.5
I apologize for assuming that the triangle was a right triangle. Without any information about the angles or additional side lengths of the triangle, it is not possible to determine the unknown side length accurately.