In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 centimeters and b=2 centimeters, what is c? If necessary, round to the nearest tenth.

c= centimeters

c=3.6 centimeters

how did u slove it

To find the length of the hypotenuse (c) in a right triangle using the Pythagorean theorem, we can use the formula:

c^2 = a^2 + b^2

Given that a = 3 cm and b = 2 cm:
c^2 = 3^2 + 2^2
c^2 = 9 + 4
c^2 = 13

Taking the square root of both sides to solve for c:
c = √13
c ≈ 3.6 cm

Therefore, the length of the hypotenuse is approximately 3.6 centimeters.