Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

quiz 1 in the right triangle shown, the length of $overline{ac}=6$ and …

Question

quiz 1
in the right triangle shown, the length of $overline{ac}=6$ and the length of $overline{bc}=4$. what is the length of $overline{ab}$?
choose 1 answer

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

$AB^{2}=6^{2}+4^{2}=36 + 16=52$

Step3: Find AB

$AB=\sqrt{52}=2\sqrt{13}$

Answer:

$2\sqrt{13}$