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 Chapter Reference a=2 3 , c=2b ?

Answer 1

c = 2b

a =
`2√(3)`

b = ?

Use Pythagorean equality:

`c^2 = a^2 + b^2\\b^2 = c^2 - a^2\\b^2 = 4b^2 - 12\\b^2 = 4\\`

b can be only positive so the solution is b=2