Question

6.6 cm
a
3.6 cm
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = centimeters
submit

Explanation:

Step1: Apply Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, so $a^2 = c^2 - b^2$

Step2: Substitute given values

$a^2 = (6.6)^2 - (3.6)^2$
$a^2 = 43.56 - 12.96$

Step3: Calculate difference and take root

$a^2 = 30.6$
$a = \sqrt{30.6}$

Step4: Round to nearest tenth

$a \approx 5.5$

Answer:

$5.5$ centimeters