Question

A. David notices that the shape of the Ligersville toxic dumpsite is somewhat like a triangle. He claims that he can approximate the perimeter of the dumpsite without doing any extra measurements. What assumption about side AB of the dumpsite would David need to make in order to justify his claim?

B. Based on the assumption in part A, determine the approximate length of side AB of the dumpsite. Explain your reasoning in at least two sentences.

C. Determine the approximate perimeter of the Ligersville toxic dumpsite. Explain your reasoning.

Answer 1

A. Side AB is approximately straight and forms the hypotenuse side of the right triangle

B. 40 yards

C. 96 yards

Explanation:

A. The assumption about the curved side AB that David would need to make in order to justify his claim is that the side AB is straight and is the hypotenuse side of the right triangle.

B. The length of AB is thus;

√(24² + 32²) = 40 yard

C. The approximate perimeter is therefore;

24 + 32 + 40 = 96 yards

Answer 2

A) AB is approximately straight line

B) 40 yards

C) 96 years

Explanation:

A) For the toxic dump site to be traingular, AB must be a straight line to form hypotneuse of the traingle and that the traingle is right angle triangle

B) assuming a right angle triangle, using pythagoras theorem

H²=P²+B²

H²= 24²+ 32²

H= 40 yards

C) Parameter= 24+32+40=96 yards