Question

The area of a triangle must be at most 32.5sq in. The base is 13in and the height is x inches. Find the possible value of x. Use an inequality to solve the problem.

Answer 1

formula for the area of a triangle is one half base times height. in symbols \(\frac{1}{2}bh\)

Answer 2

in your case you have \(b=13, h = x\) and you want the area to be "at most" 32.5 meaning
\[\frac{1}{2}\times 13x\leq 32.5\]

Answer 3

to solve for x, write
\[\frac{13}{2}x\leq 32.5\]
\[x\geq 32.5\times \frac{2}{13}\] and then some arithmetic

Answer 4

ok im lost