Mathematical right triangle If we know that the perimeter of RT triangle ABC is 4 + 4 times the root sign 3, and the length of the middle line on the hypotenuse is 2, then the area of triangle ABC is (the answer is 8)

Mathematical right triangle If we know that the perimeter of RT triangle ABC is 4 + 4 times the root sign 3, and the length of the middle line on the hypotenuse is 2, then the area of triangle ABC is (the answer is 8)

Because the median line is two
So bevel 4
So the sum of two right angle sides is 4 times the root sign 3
A + B = 4 times root sign 3
So (a + b) * 2 = 48
a*2+2ab+b*2=48
Because a * 2 + b * 2 = 16
So 2Ab = 32
ab=16
s=ab/2=8

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