Josh cut a square sheet of paper along a diagonal to make two
congruent triangles. the area of one triangle is 60.5 in."
find the length of one side, s, of the square. show your work.

Length of one side is 11 inches

Step-by-step explanation:

Area of 1 triangle = 60.5in²

2 tiangles = 2 × 60.5

= 121in²

2 triangles = 1 square

Area of square = x²

x² = 121

x = √121

= 11in

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

125 yards

step-by-step explanation:

i take 75 plus 50.