A circle is inscribed in a triangle. What is the relationship between the radius
Practice Questions
Q1
A circle is inscribed in a triangle. What is the relationship between the radius of the incircle and the area of the triangle?
r = A/s
r = s/A
r = 2A/s
r = s/2A
Questions & Step-by-Step Solutions
A circle is inscribed in a triangle. What is the relationship between the radius of the incircle and the area of the triangle?
Incircle and Triangle Area Relationship – The relationship between the radius of the incircle (r) and the area (A) of a triangle, expressed through the formula r = A/s, where s is the semi-perimeter.
Semi-perimeter – Understanding the semi-perimeter (s) as half the sum of the triangle's side lengths, which is crucial for applying the incircle radius formula.