Amath teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. the triangular face of the prism has a base of 24 cm and a height of 17 cm. the length of the entire box is 130 cm.
which of the following is the volume of the box?
a. 24,020 cm3
b. 5,304 cm3
c. 26,520 cm3
d. 53,040 cm3

the answer is c.

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c