•Write the equation first by inserting the given binomials into the Pythagorean Theorem. Show all steps and explain what you are doing as you go.

98. Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to ﬁnd the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x 4 paces to the east. If they share their information, then they can ﬁnd x and save a lot of digging. What is x?

Question

•Write the equation first by inserting the given binomials into the Pythagorean Theorem. Show all steps and explain what you are doing as you go.

98. Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to ﬁnd the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x 4 paces to the east. If they share their information, then they can ﬁnd x and save a lot of digging. What is x?

anonymous · Answer

|dw:1381688963027:dw|

Vanessa's information gives you the two sides of the right triangle (A and B), and Ahmed's gives you the hypotenuse (C).  Now you can use Pythagoras

A^2 + B^2 = C^2

then solve the quadratic to find the treasure!!