"Find the area of a rhombus with sides of length 10 in. and longer diagonal of length 16 in."

and

Also, how do you solve the problem "Find the area of a regular decagon with radius 4 cm."

3 answers

2. Decagon: 10 sides.
Area = 2.94*r^2 = 2.94*4^2 = 47 cm^2.
1. The diagonal divides the rhombus into 2 congruent triangles. The altitude bisects the diagonal.

(16/2)^2 + Y^2 = 10^2
Y^2 = 100-64 = 36
Y = 6 = Altitude.

Area = 2(16/2 * 6) = 96 in^2.
booty juice