Question

english spanish a? 3 b 10 c (ab)² + (bc)² = (ac)² ac = __ √109 √26 109 back next

Explanation:

Step1: Identify given side lengths

$AB = 3$, $BC = 10$

Step2: Substitute into Pythagorean theorem

$$AC^2 = AB^2 + BC^2 = 3^2 + 10^2$$

Step3: Calculate squared values

$$AC^2 = 9 + 100 = 109$$

Step4: Solve for AC

$$AC = \sqrt{109}$$

Answer:

$\boldsymbol{\sqrt{109}}$ (corresponding to the first option)