i need help 8in 10in 15in find area of parallelogram

Answer 1

Area = about 37

diagonal = 15

sides 8 and 10

let x = the shorter part of the diagonal, let 15-x = the longer part of the diagonal

construct some right triangles to get

then 64-x^2 = 100 -(225 -30x +x^2)

30x = 189

x = 6.3

15-x = 8.7

let y = half the other diagonal

y = 8cos51.95 = about 4.93

area = [xy + (15-x)y]/2 = about 36.98 in^2