Question

the lateral area of a frustum of a regular triangular pyramid is 1,081 cm^2 and the altitude and lateral edge are 24 cm and 26 cm, respectively. Find the length of the sides of the bases.

Answer 1

@ganeshie8

Answer 2

The answer must be 6.03 and 23.35 cm, based on the book

Answer 3

gotcha!
http://www.wolframalpha.com/input/?i=solve+1081%3D3%28a%2Bb%29%2F2*sqrt%2824%5E2%2B5%5E2%29%2C+5sqrt%283%29%2Bb%2B5sqrt%283%29%3Da

Answer 4

that length would be \(10\) because
\[\sqrt{26^2-24^2} = \sqrt{100}=10\]

Answer 5

yup

Answer 6

see how that length, lateral edge and altitude form a right triangle ?

Answer 7

yup

Answer 8

good, in that 30-60-90 triangle, can you find the remaining two side lengths ?

Answer 9

Yes, we're done with that triangle.