Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the formula for the semiperimeter of a triangle?
What is the formula for the semiperimeter of a triangle?
- $s = \frac{1}{3}(a + b + c)$
- $s = \frac{1}{2}(a + b + c)$ (correct)
- $s = \frac{1}{2}(a \times b \times c)$
- $s = \frac{1}{4}(a + b + c)$
What is Heron's formula used for?
What is Heron's formula used for?
- Determining the angles of a triangle
- Finding the area of a triangle in terms of its side lengths (correct)
- Finding the length of the median of a triangle
- Calculating the perimeter of a triangle
What is the area of a triangle using Heron's formula if the semiperimeter is 20 and the side lengths are a = 12, b = 16, and c = 20?
What is the area of a triangle using Heron's formula if the semiperimeter is 20 and the side lengths are a = 12, b = 16, and c = 20?
- $A = 96$
- $A = 240$
- $A = 192$
- $A = 144$ (correct)
What type of triangle is characterized by having integer side lengths and area?
What type of triangle is characterized by having integer side lengths and area?
Signup and view all the answers
What did Heron of Alexandria (or Hero) prove in his work Metrica?
What did Heron of Alexandria (or Hero) prove in his work Metrica?
Signup and view all the answers
