Question

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if a=2 (root of)3 and c=2b

Answer 1

Use the Pythagorean Theorem.

c^2 = a^2 + b^2.  Thus, (2b)^2 = (2√3)^2 + b^2

Simplifying, we get:  4b^2 = 4(3) + b^2, or 3b^2 = 4(3).  Then b^2 = 4, and b = +2