A triangular prism-shaped modern art sculpture will be painted on all sides. The triangle bases are equal on all three sides-each side length is 8 feet long and the height of each of the
triangle bases is 6.9 feet. The entire triangular prism sculpture is 10 feet tall. How much
square feet of paint will be needed?

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.

the anwers is yes.