Given a triangle with legs a and b and hypotenuse c, find the length of side b if c=2b, a=12.

b = 4

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

a² + b² = c² , that is

12² + b² = (2b)²

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

144 = 3b² ( divide both sides by 3 )

48 = b² ( take square root of both sides )

= b , then

b = = × = 4

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