Pascal’s Triangle is a triangular array where each number is the sum of the two numbers directly above it. Row n, column k holds the binomial coefficient C(n,k) — the number of ways to choose k items from n. It appears in combinatorics, probability, the binomial theorem, and polynomial expansion. The C program below builds …
A triangle is classified by the relationship between its three sides: Equilateral — all three sides are equal (all angles are 60°) Isosceles — exactly two sides are equal (two base angles are equal) Scalene — all three sides are different (all angles are different) Before classifying, the program validates the triangle inequality: for any …
The area of an isosceles triangle in C is computed using the Pythagorean theorem: given the base and the length of the two equal sides, you drop a perpendicular from the apex to the midpoint of the base, splitting the triangle into two right triangles. The height h = sqrt(side² − (base/2)²), and the area …