Find the base area of a rectangular pyramid whose pyramid height is 5 cm and slant height of one side of the base is 13 cm and another side of the base is 7 cm.a. 92√6 cm^2 b. 96√6 cm^2 c. 180√6 cm^2d. 100√6 cm^2e. 198√6 cm^2
Accepted Solution
A:
Let x------> the larger side of the rectangular base y-------> the smaller side of the rectangular base
we know that Applying the Pythagoras theorem
for the larger side of the base slant height =13 cm h=5 cm 13²=5²+(x/2)²-----> (x/2)²=13²-5²-----> 144 (x/2)²=144------> x/2=12------> x=24 cm
for the smaller side of the base slant height =7 cm h=5 cm 7²=5²+(y/2)²-----> (y/2)²=7²-5²-----> 24 (y/2)²=24------> y/2=√24------> y=4√6 cm