Find the length of the third side. If necessary, round to the nearest tenth.

15
20

Without any additional information or context, it is impossible to determine the length of the third side of the triangle.

Find the length of the third side. If necessary, round to the nearest tenth.

Left: 15.
Right: 20.

To find the length of the third side of a triangle when you have the lengths of the other two sides, you can use the Pythagorean Theorem. This 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.

In this case, you have one side with a length of 15 and another side with a length of 20. Let's assume that the third side is the hypotenuse of a right triangle.

Using the Pythagorean Theorem, you can solve for the length of the third side as follows:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Plugging in the given values:

c^2 = 15^2 + 20^2
c^2 = 225 + 400
c^2 = 625

Now, take the square root of both sides to find the value of c:

c = √625
c ≈ 25

Therefore, the length of the third side is approximately 25.

To find the length of the third side, we can use the Pythagorean theorem. 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.

In this case, we have two sides with lengths of 15 and 20. Let's call the length of the third side x. So we have the equation:

x^2 = 15^2 + 20^2

Calculating the values on the right side of the equation:

x^2 = 225 + 400
x^2 = 625

Now, to find the length of the third side, we need to take the square root of both sides of the equation:

x = √625
x = 25

Therefore, the length of the third side is 25.