Answer:
Height should be ≤ 9 inches.
Step-by-step explanation:
Given:
Frank is making a pennant in the shape of a triangle for his senior class photo.
Base of triangle = 6 in
Area of triangle ≤ 27 [tex]in^2[/tex]
Let height of the triangle be h
Now we now that,
Area of triangle = [tex]\frac{1}{2}\times base \times height[/tex]
[tex]\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.[/tex]
Hence the height of the triangle must be at most or ≤ 9 inches.