Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point) side one is 20 side two is 30
To find the unknown side length in a triangle, we can use the Pythagorean theorem if the triangle is a right triangle.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's denote the unknown side length as "x."
In this case, we have side one as 20 and side two as 30. Since we don't know the positions of these sides in the triangle, we will assume that one of the given sides is the hypotenuse.
So let's consider the following possibilities:
1. If side one is the hypotenuse:
- Applying the Pythagorean theorem: 20^2 = x^2 + 30^2
- Simplifying: 400 = x^2 + 900
- Subtracting 900 from both sides: x^2 = 400 - 900
- Simplifying further: x^2 = -500
- Since we cannot have a negative side length in this context, this possibility is not valid.
2. If side two is the hypotenuse:
- Applying the Pythagorean theorem: 30^2 = x^2 + 20^2
- Simplifying: 900 = x^2 + 400
- Subtracting 400 from both sides: x^2 = 900 - 400
- Simplifying further: x^2 = 500
- Taking the square root of both sides: x ≈ √500
- Evaluating the square root: x ≈ 22.36
Therefore, rounding to the nearest hundredth, the unknown side length "x" is approximately 22.36.
To find the unknown side length in a triangle, we'll need more information.
To find the unknown side length in the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have side one with a length of 20 and side two 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 this equation:
x^2 = 400 + 900
x^2 = 1300
To find "x", we need to take the square root of both sides:
x = √1300
Now, let's calculate the approximate value of x rounded to the nearest hundredth.
x ≈ 36.06
Therefore, the unknown side length, rounded to the nearest hundredth, is approximately 36.06.