SOLUTION: Good afternoon Tutors: I have a word problems where I am asked to use an inequality to solve involving triangles. 1) A flag maker is making a triangular flag but he must keep t

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Question 530427: Good afternoon Tutors:
I have a word problems where I am asked to use an inequality to solve involving triangles.
1) A flag maker is making a triangular flag but he must keep the sign under 40 sq. ft. If the base of the sign is 10 ft, what is the maximum height of the triangular sign?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the area of a triangle:
A+=+%281%2F2%29b%2Ah you want this to be less than 40 sq.ft.
%281%2F2%29bh+%3C+40 Substitute b = 10 (the base is 10 ft.)
%281%2F2%29%2A10%2Ah+%3C+40 Simplify.
5%2Ah+%3C+40 Divide by 5.
h+%3C+8ft.
The maximum height is 7.9...ft.