(Teaser) The total number of sides in two regular polygons is 13, and total number of diagonals is 25. How many sides are in eac h polygon?
2 answers:
The other student is correct I believe.
Answer:
T
he two polygons have 8 sides and 5 sides.
Step-by-step explanation:
A purely algebraic solution seems as if it would be very messy. Use trial and error, along with the formula for the number of diagonals in a n-sided polygon.
number of diagonals in a polygon with n sides: n(n-3)/2
10 sides and 3 sides: 10(7)/2 + 3(0)/2 = 35+0 = 35 nope....
9 sides and 4 sides: 9(6)/2 + 4(1)/2 = 27+2 = 29 nope....
8 sides and 5 sides: 8(5)/2 + 5(2)/2 = 20+5 = 25 yep!
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