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

3 answers

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.
Who said it was a right triangle?
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.