SOLUTION: if the sum of the base and the height of a triangle is 16 cm, what are the dimensions for which the area is a maximum?
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Question 346239: if the sum of the base and the height of a triangle is 16 cm, what are the dimensions for which the area is a maximum?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 1,
Substitute into eq. 2,
Convert to vertex form to find the maximum of A, where (,) is the vertex.
.
.
.
.
.
.
The vertex is (,).
The coefficient of the term is negative so the value at the vertex is a maximum.
cm^2
cm
From eq. 1,
cm
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