Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 4.5 millimeters and c = 5.6 millimeters, what is b? if necessary, round to the nearest tenth.
b = millimeters

Explanation:

Step1: Apply Pythagorean theorem

$a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$

Step2: Substitute given values

$b^{2}=5.6^{2}-4.5^{2}=31.36 - 20.25=11.11$

Step3: Solve for b

$b=\sqrt{11.11}\approx3.3$

Answer:

$3.3$