Ask a New Question

Question

ABCD is a square of side length 1. E , F , G and H are the midpoints of AB , BC , CD and DA , respectively. The lines FA , AG , GB , BH , HC , CE , ED and DF determine a convex 8-gon. By symmetry, this octagon has equal sides. If s is the side length of the octagon, then s 2 can be expressed as a b , where a and b are coprime positive integers. What is the value of a+b ?
12 years ago

Answers

brilliant staff
149
12 years ago

Related Questions

Let ABCD be a square with side legnth 7cm. Another square KLMN is inscribed into ABCD such that its... Consider a square ABCD of side 10cm and total mass 10kg. Let O be the center of the sqaure. We cut a... Consider a square ABCD of side 10cm and total mass 10kg. Let O be the center of the sqaure. We cut a... Consider a square of side length a = 9.7 cm with charged particles at each of the corners. Three of... Figure ABCD is a square. Side AB measures 10x – 7. Side BC measures 2x + 52. Find the value of x. ABCD is a square with each side lenght 1 .Suppose BPC is an equilateral triangle ,find the area if t... ABCD is a square. If one side of the square measures 2x – 5 inches and the other side measures x + 8... Square ABCD has side length 60. An ellipse E is circumscribed about the square and there is a point... A square scarf has a side length of 3/4 yard on each side. What is the area of the scarf? Ente... Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam a...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use