Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3 ft. 1 ft. b what is the length of the missing leg? if necessary, roun…

Question

3 ft.
1 ft.
b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = feet

Explanation:

Step1: Apply Pythagorean theorem

$a^2 + b^2 = c^2$, where $a=1$, $c=3$

Step2: Rearrange to solve for $b$

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

Step3: Substitute values

$b = \sqrt{3^2 - 1^2} = \sqrt{9 - 1} = \sqrt{8}$

Step4: Calculate and round

$\sqrt{8} \approx 2.8$

Answer:

2.8 feet