Adinner platter is in the shape of a regular decagon the platter has an area of 161 in.² and a side length of 4.6 inches what's the area of each triangle and what is the height of each triangle

Number of sides= 10
Side length= 4.6 ( or in this case base)

161 sq inches / 10 = 16.1 area of triangle.

Area of triangle =(base * height)/2 

16.1=(4.6*h)/2
multiply 16.1 by 2 (cancels the dividing the 2)

32.2=4.6*h
divid 32.2 by 4.6

7 is the height of the triangle