3dgeometry
I'm trying to find h2 of a trapezoid base of a prism, but I can't figure it out. There aren't any angles or sides I know of I can use to determine the measurement
I'm looking for the smaller height of the trapezoid base, by $1.00$ and $.76$ measurements.
$$a = b - 2 \,c \cos \alpha $$
where $ \alpha = $ angle between the big side and one of equal sides length $c$.
Express the surface area by the height of the prism to have an equation. Note, for example, that the quadrilateral $A_1B_1BA$ is a rectangle (which I assume from the image).
Best Answer
Notice $\angle DEF = 45^\circ$, you have $\color{green}{FD} = \color{green}{DE}$ and $$\begin{align} h_2 = \color{blue}{AF} &= AD - \color{green}{FD} = \color{orange}{BC} - \color{green}{DE} \\ & = \color{orange}{BC} - (DC - \color{#CCCC00}{EC}) = \color{orange}{BC} - (\color{red}{AB} - \color{#CCCC00}{EC})\\ &= 2.00 - (2.24 - 0.50) = 0.26\end{align}$$