How do i find the slant height of this pyramid??

Question

xmoses1 · Answer

attachment

ganeshie8 · Answer

looks slant height is already given. look at the pic, slant height = 5

xmoses1 · Answer

oh it wouldnt be the red lin on the side?

ganeshie8 · Answer

oops ! yeah you're right, we need to find that red line. 5 is the blue slant line ! its not slant height

xmoses1 · Answer

i could have said the red line to make it less confusing:)

ganeshie8 · Answer

np, i got this thing wrong previously. slant height is not a confusing term :) lets find it

xmoses1 · Answer

alright, I just need the slant height so i can find the total area

ganeshie8 · Answer

ok, this is a regular square pyramid, so all sides are equal

xmoses1 · Answer

yes

ganeshie8 · Answer

the right side is also 6

xmoses1 · Answer

yeah, it will have all equal sides since it is a regular square

ganeshie8 · Answer

attachment

xmoses1 · Answer

Will we need the area of the base to find the slant height?

xmoses1 · Answer

I see how you got the 3

ganeshie8 · Answer

area of base is not needed. look at the attached pic. that green triangle is right triangle.

ganeshie8 · Answer

with hypotenuse = 5
one leg = 3

ganeshie8 · Answer

you can find the other leg using pythagoras theorem

xmoses1 · Answer

I am not sure how to find another leg using the hypothesis. I know that a2+b2=c2. i am not sure how to work it backwards

anonymous · Answer

root 3 maybe.

ganeshie8 · Answer

ok, 

hyp^2 = leg^2 + leg^2
5^2 = 3^2 + leg^2

leg = 4

ganeshie8 · Answer

so, slant height = 4

ganeshie8 · Answer

i need to rush, bye

xmoses1 · Answer

Alright thanks you for your help!