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 c=2b, a=12?

Answer 1

b= (square root of)48

Explanation:

Use pythagoreon theorem,

and you get b^2=48

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You need to apply the Pythagorean Theorem:

`c^(2)=b^(2)+a^(2)`

Where c is the hypotenuse and the legs are a and b.

2. Now, you must substitute the values given in the problem above and solve for b:

`(2b)^(2)=b^(2)+12^(2)\\4b^(2)=b^(2)+144\\4b^(2)-b^(2)=144\\3b^(2)=144\\b=\sqrt{(144)/(3)}\\b=6.92`

Therefore, the answer is: The value of b is 6.92