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kirza4 [7]
3 years ago
9

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 i

s the value of b, if a=2 root3 , c=2b
Mathematics
1 answer:
hoa [83]3 years ago
3 0

In a right triangle, the sum of the squares of the legs is the square of the hypotenuse.

So, you would have

a^2+b^2=c^2

If you plug the values, you have

(2\sqrt{3})^2+b^2=(2b)^2

So, you end up with a quadric equation in b:

12+b^2=4b^2 \iff 3b^2=12 \iff b^2=4 \iff b=2

So, the three sides are

a=2\sqrt{3},\ b=2,\ c=4

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