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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. Which of the following is an example of a perfect number?**
**(a)** 6. **(b)** 20. **(c)** 1. **(d)** 10.

**2. What did Ferdinand Lindeman prove in 1882?**
**(a)** That the square of a circle can not be found with a compass and a straight-edge. **(b)** That the square root of the hypotenuse of a right triangle can not be found. **(c)** It is impossible to find the square of a semicircle. **(d)** It is possible to find the square of a circle.

**3. What was the same about Apollonius and Erosthanes?**
**(a)** They were both mathematicians. **(b)** They both studied the Universe. **(c)** They both calculated the circumference of the earth. **(d)** They were both born in the same year.

**4. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Euclid's number theory **(b)** A proof of the Pythagorean Theorem. **(c)** A proof of Archimedes' number theory. **(d)** A proof of Hippocrates' squared areas.

**5. What did Dunham consider extraordinary about the Elements?**
**(a)** The content was totally unique. **(b)** How Hippocrates ordered the book. **(c)** How geometric proofs were presented. **(d)** The content was not based on previous authors' work.

## Short Answer Questions

**1.** Where was Archimedes born?

**2.** What do we know in modern times about Heron?

**3.** What did Hippocrates do that advanced mathematical methods?

**4.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**5.** What was Euclid's definition of a prime number?

This section contains 350 words(approx. 2 pages at 300 words per page) |