Question

question
find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Identify Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=24$, $a=14$, solve for $b$.

Step2: Rearrange formula for unknown side

$b = \sqrt{c^2 - a^2}$

Step3: Substitute given values

$b = \sqrt{24^2 - 14^2} = \sqrt{576 - 196}$

Step4: Calculate and simplify

$b = \sqrt{380} \approx 19.5$

Answer:

19.5