Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR = 8. Find XY^2.
+1490 Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR = 8. Find XY^2.
SR = 10
YR = 8
YS = 6
Angle SYR = 90°
Angle RSY = ? tan(RSY) = YR / YS ∠ RSY = 53.13°
LY = cos(53.13°) * YS = 3.6
LS = sqrt [(YS)2 - (LY)2] = 4.8
YN = SP + 2 * LS = 19.6
NX = SR - 2 * LY = 2.8
XY2 = YN2 + NX2 = 392 
