Use the pythagorean theorem to find the length of the unknown side of the right triangle give an exact answer

Question

Hypotenuse = 4

Bottom leg = √2

Answer 1

Use the Pythagorean theorem to find the length of the unknown side of the right triangle give an exact answer

Hypotenuse = 4

Bottom leg = √2

Pythagorean states.....a² + b² = c²

a = bottom leg

b = other leg

c = hypotenuse

(sqrt 2)² + b² = (4)²

2 + b² = 16

b^{2 =} 14

b = sqrt(14)

check....(sqrt2)² + (sqrt14)2 = (4)² ..... 2 + 14 = 16.........it checks...

Answer 2

the theorem is c^2 = a^2 + b^2

the hypotenuse is 4

and the bottom leg is the square root of 2

so 4^2 = square root of 2 squared + b^2

16 = 2 + b^2

subtracting 2 from both sides we got 14= b^2

b=square root of 14 or 3.7