Question 9
Costi and an expedition search for treasure using a map. It shows two villages at the foot of a strangely shaped mountain, with lengths marked. The treasure is exactly halfway between the villages. Costi must find the distance between them.
After studying the map, Costi labels the points as shown. Extend rays BE and AC until they meet at F.
1. What kind of quadrilateral is CDEF? Hence find EF and CF.
2. Find AF and BF.
3. What kind of triangle is AFB? Hence find AB.
4. Find the distance from the treasure to each village.
After studying the map, Costi labels the points as shown. Extend rays BE and AC until they meet at F.
1. What kind of quadrilateral is CDEF? Hence find EF and CF.
2. Find AF and BF.
3. What kind of triangle is AFB? Hence find AB.
4. Find the distance from the treasure to each village.