Question

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

15
13
Pythagorean theorm

Answer 1

third side ≈ 19.8

Explanation:

using Pyjthagoras' identity in the right triangle.

the square on the hypotenuse x is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 15² = 169 + 225 = 394 ( take square root of both sides )

x =
`√(394)` ≈ 19.8 ( to the nearest tenth )

Answer 2

The missing side of the isosceles triangle is approximately 7.5 units, determined using the Pythagorean theorem.

Find the missing side using the Pythagorean theorem.

The triangle is isosceles, which means that two sides have the same length. We are given that one of the equal sides is 15 units long. Let's call the length of the third side "x". Using the Pythagorean theorem, we can write the following equation:

x^2 = 15^2 - 13^2

Solve for x.

To solve for x, we need to square both sides of the equation. This will get rid of the radical and make it easier to isolate x.

x^2 = 225 - 169

x^2 = 56

Taking the square root of both sides, we get:

x = √56

Simplify the answer (if necessary).

The square root of 56 cannot be simplified further. However, we can round it to the nearest tenth if needed. In this case, the answer is:

x ≈ 7.5

The length of the third side of the triangle is approximately 7.5 units.