What is the length of side c in right triangle if side a is 4cm and side b is 3cm?

From the Pythagorean Theorem: c^2 = a^2 + b^2. So,

c = √(a^2 + b^2) substitute the given values:

c = √(4^2 + 3^2)

c = √(16 + 9)

c = √25

c = 5 (since the length is always positive)

One of the Pythagorean triples is 3,4,5. So, if you know all the Pythagorean triples, you don't need to do the computations above.

The Pythagorean triple: A set of three positive integers a, b, and c such that a^2 + b^2 = c^2. Pythagorean triples that have greatest common divisor equal to 1 include the following: {3, 4, 5}, {5,12, 13}, {8, 15, 17}, {7, 24, 25}, and {20, 21, 29}.