Finding the missing side of the triangle. Round your answer to the nearest tenth

72 is one side of the triangle and 62 is the other side

1 answer

To find the missing 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 longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's assume that the missing side is the hypotenuse.

Using the Pythagorean theorem, we have:

c^2 = a^2 + b^2

where c is the missing side (hypotenuse) and a and b are the other two sides of the triangle.

Given that one side is 72 and the other side is 62, we can plug in the values into the equation:

c^2 = 72^2 + 62^2
c^2 = 5184 + 3844
c^2 = 9028

To find c, we take the square root of both sides:

c = √9028
c ≈ 95.0

So, the missing side (the hypotenuse) is approximately 95.0.