Question

right triangle trigonometry: foundations
in the right triangle shown, the length of $overline{ac}=7$ and the length of $overline{bc}=6$. what is the length of $overline{ab}$?
choose 1 answer:
a $sqrt{19}$

Explanation:

Step1: Apply Pythagorean theorem

$AB^{2}=AC^{2}+BC^{2}$

Step2: Substitute given values

$AB^{2}=7^{2}+6^{2}=49 + 36=85$

Step3: Solve for AB

$AB=\sqrt{85}$

Answer:

$\sqrt{85}$