Question

What is the length of AG in the cube below?

Answer 1

find the diagonal of base AC first

Answer 2

how do i find that

Answer 3

ABCD is a square, use pythagoras and see if u can find AC

Answer 4

will ac be 12.72

Answer 5

thats right ! but lets leave it in exact form

Answer 6

so we round it off to 13

Answer 7

\(AC^2 = 9^2 + 9^2\)
\(AC^2 = 2 \times 9^2\)

\(AC = 9\sqrt{2}\)

Answer 8

we need to still find AG, using this AC

Answer 9

if u see, ACG is again a right angled triangle, we can apply pythagoras and find AG ?

Answer 10

oh ok i see thanks

Answer 11

\(AG^2 = AC^2 + CG^2\)

\(AG^2 = (9\sqrt{2})^2 + 9^2\)

\(AG = ? \)

Answer 12

:) yw !