When solving for an unknown side using Heron’s formula
MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula
Problem
When solving for an unknown side using Heron’s formula, the quadratic equation obtained gives two real roots. Which condition must the acceptable root always satisfy?
(a) It must be smaller than the difference of the other two sides.
(b) It must be positive and smaller than the sum of the other two sides.
(c) Any positive root may be taken without further checks.
(d) It must be larger than the sum of the other two sides.