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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. What was true about Heron's theorem as described by Dunham?**
**(a)** It was to determine the volume of a sphere without measuring the circumference. **(b)** It was to find the area of a triangle when only the length of the sides are known. **(c)** It was to solve equations were only two varibles are known. **(d)** It was to determine the area of a circle by measuring a right triangle inside the circle.

**2. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Quadrature. **(b)** Triangulation. **(c)** Square root. **(d)** Cubation.

**3. Which of the following is true about pi, as described by Dunham.**
**(a)** The measurement of pi should not have been so difficult for Archimedes to demonstrate. **(b)** The measurement of pi was redetermined after Archimedes's death. **(c)** The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics. **(d)** The measurement of pi is a challenge that continues into modern mathematics.

**4. What did Gauss set out to prove?**
**(a)** That a circle can have less than 360 degrees. **(b)** That Euclid's postulate on straight lines was incorrect. **(c)** That the sum of the angles in a triangle is 180 degrees. **(d)** That a right angle is always equal to 90 degrees.

**5. What was Eratosthanes most famous for?**
**(a)** He showed that the Earth must be a sphere. **(b)** He developed a simple way to find prime numbers and for determining the circumference of the Earth. **(c)** He showed that there are no even prime numbers. **(d)** He developed a way to navigate using logitude and latitude.

## Short Answer Questions

**1.** What instruments did the Greeks use to square a shape?

**2.** Which of the following was NOT true about Archimedes, according to Dunham?

**3.** Which of the following was NOT one of the basic definitions in Elements?

**4.** Heron's work referred to the work of what other famous scholar?

**5.** Which of the following is an example of a perfect number?

This section contains 374 words(approx. 2 pages at 300 words per page) |