We are given a right triangle with one leg measuring 13 cm and the hypotenuse measuring 18 cm. We need to find the length of the other leg and round the answer to the nearest tenth.

1. Problem Description

We are given a right triangle with one leg measuring 13 cm and the hypotenuse measuring 18 cm. We need to find the length of the other leg and round the answer to the nearest tenth.

2. Solution Steps

We can use the Pythagorean theorem to solve for the length of the other leg. The Pythagorean theorem states that for a right triangle with legs of length $a$ and $b$, and hypotenuse of length $c$, we have:

$a^2 + b^2 = c^2$

In this problem, we are given $a = 13$ cm and $c = 18$ cm. We need to find $b$.

Plugging in the given values, we get:

$13^2 + b^2 = 18^2$

$169 + b^2 = 324$

$b^2 = 324 - 169$

$b^2 = 155$

Taking the square root of both sides:

$b = \sqrt{155}$

$b \approx 12.449899598...$

Rounding to the nearest tenth, we have:

$b \approx 12.4$

3. Final Answer

12.4 cm