Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
one side is 20 and the other is 30, right triangle
To find the unknown side length in a right triangle, 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, we have one side with a length of 20 and another side with a length of 30.
Let's call the unknown side length x.
Using the Pythagorean theorem, we can set up the equation:
x^2 = 20^2 + 30^2
Simplifying, we have:
x^2 = 400 + 900
x^2 = 1300
To find the value of x, we take the square root of both sides:
x ≈ √1300
Using a calculator, we find that x is approximately 36.06.
Rounding to the nearest hundredth, the unknown side length is approximately 36.06.