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The sides of a triangle are 6 7 and x What is the largest value that could be the area of such a triangle?
Wiki User
∙ 15y ago
The area of a triangle is half the base multiplied by the vertical height. It doesn't matter which side we take as the base, so I'll use 6. now the height can never be more than 7, so the maximum area is 0.5 x 6 x 7 = 21 square units.
slightly better:
Area = 0.5 x 7 x 6 sinø where ø is the angle between the sides of length 6 and 7
maximum value of sin ø is 1.
=> maximum area = 0.5 x 6 x 7
= 21
Wiki User
∙ 15y ago
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