Question

Prove thatt 8ae²=3ac²+5ad² when abc is tridected by dand e

Answer 1

Join AD AND AE.

keep each part as x.

therefore,BD=x

DE=2x

CE=3x

construct a perpendicular from a

use pythagoras everywhere

first get AE square and multiply the whole equation by 8.

then get AC square and multiply the whole equation by 3

then get AD square and multiply the whole equation by 5.

ADD 3AC square and 5ADsquare

subtract the result by 8AE square

u will get the ans.