We are given a right triangle with a hypotenuse of 17 cm and one leg of 12 cm. We need to find the length of the other leg, rounded to the nearest tenth.

1. Problem Description

We are given a right triangle with a hypotenuse of 17 cm and one leg of 12 cm. We need to find the length of the other leg, rounded to the nearest tenth.

2. Solution Steps

We can use the Pythagorean theorem to solve for the missing leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse ($c$) is equal to the sum of the squares of the lengths of the other two sides (legs $a$ and $b$).

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

In this problem, we know $c = 17$ cm and one leg, say $a = 12$ cm. We need to find the length of the other leg, $b$.

$12^2 + b^2 = 17^2$

$144 + b^2 = 289$

$b^2 = 289 - 144$

$b^2 = 145$

$b = \sqrt{145}$

$b \approx 12.04159$

Rounding to the nearest tenth, we get $b \approx 12.0$ cm.

3. Final Answer

12.0 cm