Question

7 cm 2 cm b what is the length of the missing leg? if necessary, round to the nearest tenth. b = centimeters submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=7$ cm, $a=2$ cm, solve for $b$.
Rearrange to $b = \sqrt{c^2 - a^2}$

Step2: Substitute known values

$b = \sqrt{7^2 - 2^2}$

Step3: Calculate inside the square root

$7^2=49$, $2^2=4$, so $49-4=45$
$b = \sqrt{45}$

Step4: Simplify and round

$\sqrt{45} \approx 6.7$

Answer:

6.7 centimeters