Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.
x, 75, 62, those are all of the sides of the right triangle
(1 point)
To find the missing side of the right triangle, we can use the Pythagorean theorem, which 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 lengths of the other two sides.
In this case, we can label x as the missing side. Thus, we have the equation:
x^2 = 75^2 + 62^2
Simplifying this equation, we get:
x^2 = 5625 + 3844
x^2 = 9469
Taking the square root of both sides, we find:
x ≈ √9469 ≈ 97.3
So, the missing side of the right triangle is approximately 97.3 (rounded to the nearest tenth).
To find the missing side of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem 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, the missing side is denoted as "x". We have the following information:
x, 75, 62
Let's use the Pythagorean theorem to solve for "x":
x^2 + 62^2 = 75^2
Simplifying this equation:
x^2 + 3844 = 5625
Subtracting 3844 from both sides:
x^2 = 5625 - 3844
x^2 = 1781
To find the value of "x", we take the square root of both sides:
x = √1781
Calculating this value, we get:
x ≈ 42.2
Therefore, the missing side of the right triangle is approximately 42.2.
To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that 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 the following sides of the right triangle: x, 75, and 62.
The Pythagorean theorem equation can be written as:
x^2 + 62^2 = 75^2
To find the value of x, we need to solve this equation.
Let's simplify the equation:
x^2 + 3844 = 5625
Subtracting 3844 from both sides:
x^2 = 5625 - 3844
x^2 = 1781
To find x, we need to take the square root of both sides of the equation:
x = √1781
Using a calculator to find the square root of 1781, we get:
x ≈ 42.2 (rounded to the nearest tenth)
Therefore, the missing side of the right triangle is approximately 42.2.