A triangle area (the updated version)
Find the area of the triangle below:
Type your answer. If you forget how to calculate the area of the triangle, you should multiply the base by the height, and then divide by 2. If you still unable to calculate or think the answer doesn't exist, just type 0.
The figure is not to scale.
To clarify: AC = 10.
The answer is 0.
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Remember that: In a right triangle the median line to the hypotenuse is half the hypotenuse. Therefore, the length of the median line BM is 2 1 0 = 5
We can clearly see a paradox: Although BH is the leg and BM is the hypotenuse, BH > BM (6>5). Therefore, triangle ABC doesn't exist.
Therefore, the area of triangle ABC doesn't exist, too. Since the problem told us to type 0 if the answer doesn't exist, we should type 0
Comment: This triangle is a trap!