Question

7 cm
3 cm

b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = \square centimeters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=7$, $a=3$. Rearrange to solve for $b$:
$b^2 = c^2 - a^2$

Step2: Substitute given values

$b^2 = 7^2 - 3^2 = 49 - 9 = 40$

Step3: Calculate square root of 40

$b = \sqrt{40} \approx 6.3$

Answer:

6.3 centimeters