SOLUTION: What is the greatest possible area of a triangle with one side of length 7 and another side of length 10. A) 17 b)34 c)35 d) 70 e) 140

Question 930409: What is the greatest possible area of a triangle with one side of length 7 and another side of length 10. A) 17 b)34 c)35 d) 70 e) 140
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A right triangle would give you the maximum area.
Assume 10 is the base, the maximum height you could have is 7, when it's a right triangle.
Any other angle, would reduce the height while maintaining the leg length at 7.
So,

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