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

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Mathematics

Andrade

20 February, 05:37

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

+1

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Jensen Pham · 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