in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 3…
in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 3 inches and b = 1 inch, what is c? if necessary, round to the nearest tenth. c = inches
Answer
Explanation:
Step1: Apply Pythagorean theorem
$c^{2}=a^{2}+b^{2}$
Step2: Substitute given values
$c^{2}=3^{2}+1^{2}=9 + 1=10$
Step3: Solve for c
$c=\sqrt{10}\approx 3.2$
Answer:
$3.2$