Let a and B be the lengths of two right angles of a right triangle and (A2 + B2) (3 under the root of A2 + b2-4) = - 12, then the value of A2 + B2 is Thank you for your correct answer! | Math enthusiast | Mathematical art

Let a and B be the lengths of two right angles of a right triangle and (A2 + B2) (3 under the root of A2 + b2-4) = - 12, then the value of A2 + B2 is Thank you for your correct answer!

2 radical 3
Consider A2 + B2 as C
So the equation is c2-4 radical 3C + 12 = 0
It's a perfect square
It's (C-2 radical 3) 2 = 0
So C = 2, radical 3
That's the answer

If the three sides of the triangle are A2 + B2, 2Ab, A2-B2 (a, B are positive integers), then the triangle is______ ．．

∵ (2Ab) 2 + (A2-B2) 2 = 4a2b2 + A4 + b4-2a2b2 = A4 + B4 + 2a2b2 = (A2 + B2) 2, ∵ the triangle is right triangle, so the answer is right triangle

Two straight lines parallel, the same angle of the inverse proposition, and write the reason

The original proposition: if two lines are parallel, then the same angle is equal
Inverse proposition: if the same angle is equal, then two lines are parallel
Reason: the converse proposition takes the conclusion of the original proposition as a condition

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