Talin wants to build a storage box that will exactly fit his 6 reference books that are each 8 inches wide and 11 inches long. If half of his books are 1 inch thick and half are 2 inches thick, how much material, in square feet, will he need to make the storage box? Round your answer to the nearest thousandth. Help

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough