Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle with legs $a, b$ and hypotenuse $c$, $c = \sqrt{a^2 + b^2}$. Here $a=7$, $b=14$.

Step2: Calculate squared terms

$7^2 = 49$, $14^2 = 196$

Step3: Sum the squared terms

$49 + 196 = 245$

Step4: Compute square root

$\sqrt{245} = 7\sqrt{5} \approx 15.652$

Step5: Round to nearest tenth

Round $15.652$ to 1 decimal place.

Answer:

15.7