show all your reasoning to evaluate the third side of a right angled triangle given that two sides are 2 and root 3.

Question

Possibly could you do it in a diagram but if not possible that would be ok 

Answer 1

If a triangle has a right angle, then we have a right triangle.  The Pythagorean theorem can be used here to find the length of the third side.  The two sides are given, and the third side is the hypotenuse.

 

 

Let x = the third side

 

2² + (√3)² = x²

 

4 + (√3) (√3) = x²

4 + 3 = x²

7 = x²

 

√7 = x

 

The third sides is √7.