Mathematics: Frank is making a pennant in the shape of a triangle for his senior class photo. he wants the base length of this triangle to be 6 inches. the area of the pennant must be at most 27 square inches. (frank doesn t want to buy more materials.) write an inequality that describes the possible heights (in inches) of the triangle. use h for the height of the triangular pennant.

106.68 becasue 1 in=2.4 cm so 42 times 2.4...

Frank is making a pennant in the shape of a triangle

JadedylaneH6980

10.01.2022

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 in^2

Let height of the triangle be h

Now we now that,

Area of triangle = $\frac{1}{2}\times base \times height$

$\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.$

Hence the height of the triangle must be at most or ≤ 9 inches.

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