Find the unknown side length in this triangle. Round to the nearest hundreth if the left side is 20, and the long side is 30 what is the bottom side
To find the unknown side length in this triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we are given the length of the left side (20) and the long side (30). Let's label the unknown side length as x.
Using the Pythagorean theorem, we can write the equation:
20^2 + x^2 = 30^2
Simplifying this equation:
400 + x^2 = 900
Subtracting 400 from both sides:
x^2 = 500
Taking the square root of both sides:
x = √500
Rounded to the nearest hundredth, the unknown side length is approximately 22.36.
To find the unknown side length in this triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the long side) is equal to the sum of the squares of the other two sides.
In this case, we have the left side as 20 and the long side as 30. Let's denote the unknown side length as x. Now, we can set up the equation as follows:
20^2 + x^2 = 30^2
Simplifying the equation, we get:
400 + x^2 = 900
Next, we will subtract 400 from both sides:
x^2 = 900 - 400
x^2 = 500
To find the value of x, we need to take the square root of both sides of the equation:
x = √500
Rounding to the nearest hundredth, we get:
x ≈ 22.36
Therefore, the approximate length of the bottom side is 22.36.
To find the length of the bottom side of the triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the long side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have the left side measuring 20, and the long side measuring 30. Let's call the bottom side "x".
According to the Pythagorean theorem, we can write the equation as follows:
x^2 = 30^2 - 20^2
To solve for x, we need to calculate the square of 30 and the square of 20, and then subtract the latter from the former:
x^2 = 900 - 400
x^2 = 500
Now we can find the value of x by taking the square root of both sides of the equation:
x = √500
Rounding to the nearest hundredth, x is approximately 22.36. Therefore, the length of the bottom side of the triangle is 22.36 units.