Question

Find the lateral area for the prism https://media.aop.com/curric/ow-sets/curriculum2015/g_geo_2015/8/groupi68.gif

Answer 1

so first you need calculi the 3rd side of this triangle - yes ?
than i see it right this is a right triangle - yes ?

Answer 2

so than just use Pythagora's theorem - ok ?

Answer 3

do you know it ?

Answer 4

so the unknowed side let being x - using Pythagora -

x^2 = 6^2 +4^2 - can you continue it please ?

Answer 5

are you here ?

Answer 6

2 times the square root of 13 is x

Answer 7

so x=2sqrt13 - yes this is right - so very nice

but you need calculi just lateral area - yes - so how can you get it ,do you know ?

Answer 8

Perimeter times the height = L.A.

Answer 9

i think yes - so can you calculi it ?

Answer 10

so how many will be the perimeter ?

Answer 11

come please this is easy

Answer 12

P= 4+6+2sqrt13 = ?

Answer 13

\[12 \times \sqrt{13}\]

Answer 14

no - you not can assuming 10+2sqrt13 - ok ?

Answer 15

oh ok

Answer 16

so do you have got it ?

Answer 17

I think its \[80+16\sqrt{16}\]

Answer 18

I meant \[80+16\sqrt{13}\]

Answer 19

so 8*4=32
and 6*8=48 assuming 32+48=80 and 3rd side
8*2sqrt13 = 16sqrt13

lateral area = 80+16sqrt13

yes --- right sure