Question

A triangle has sides A, B, and C. Sides A and B are of lengths `5` and `1`, respectively, and the angle between A and B is `(pi)/2`. What is the length of side C?

Answer 1

`|C|=sqrt(26)`

Explanation:

Given: `triangle ABC` is a right angled triangle with legs `|A|=5` and `|B|=1`
`rArr C` is the hypotenuse.

According to the Pythagorean Theorem:
`color(white)("XXX")|C| = sqrt(|A|^2+|B|^2) = sqrt(5^2+1^2) =sqrt(26)`