Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
20,30,?
To find the unknown side length in a triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, if the sides of the triangle are 20 and 30, and we are looking for the unknown side length, let's call it "x", then we have:
20^2 + 30^2 = x^2
Simplifying this equation:
400 + 900 = x^2
1300 = x^2
To find x, we take the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06 (rounded to the nearest hundredth).
Therefore, the unknown side length in the given triangle is approximately 36.06.