Question

What do you do if there is a square root Pythagorean Theorem?

Answer 1

The hypotenuse length = 2

To answer your question if a side is given as a square root of a number, squaring that side will be the number under the square root

Thus (√3)² = 3

Explanation:

The Pythagorean theorem states that :

c² = a² + b²

Once we find c² by adding a² and b² we take the square root of the sum

where
c= hypotenuse and a, b the other two sides

In the figure

a = √3, b = 1

a² = (√3)² = 3 (because (√a)² = a)

b² = 1² = 1

a² + b² = 3 + 1 = 4

Therefore
c² = 4

c = √4 = 2