Given:
Area of the trapezoid, A = 9.2 cm^2
Long base, a = 3.2 cm
Short base, b = 2.9 cm
Let's find the height of the trapezoid.
Apply the formula:
[tex]A=\frac{a+b}{2}\ast h[/tex]Where h is the height.
Substitute values into the equation:
[tex]9.2=\frac{3.2+2.9}{2}\ast h[/tex]Let's solve for h:
[tex]\begin{gathered} 9.2=\frac{6.1}{2}\ast h \\ \\ 9.2=3.05\ast h \end{gathered}[/tex]Divide both sides by 3.05:
[tex]\begin{gathered} \frac{9.2}{3.05}=\frac{3.05\ast h}{3.05} \\ \\ 3.0=h \\ \\ h=3.0\text{ cm} \end{gathered}[/tex]Therefore, the height of the trapezoid is 3.0 cm
ANSWER:
3.0 cm
