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

c=2b, a=12?

u r smart

b = 4√3

using Pythagoras' identity in the given triangle

c² = a² + b² (substitute c = 2b and a = 12 into the equation)

(2b) ² = 12² + b²

4b² = 144 + b² (subtract b² from both sides)

4b² - b² = 144

3b² = 144 (divide both sides by 3)

b² = 48 (take the square root of both sides)

b = √48 = √ (16 * 3) = √16 * √3 = 4√3 ' exact value '