Table of Contents
Last modified on August 3rd, 2023
An obtuse triangle is a figure where one of the three angles measures more than 90°, and the other two angles measure less than 90°.
1. One of the three interior angles measures more than 90°, and two others are acute angles; in ∆ABC, ∠ABC is the obtuse angle
2. The sum of the two acute angles is always less than the obtuse angle,
so ∠BAC + ∠ACB < ∠ABC
3. The side opposite the obtuse angle is the longest side of the triangle, so AC is the longest side
Obtuse triangles are classified into two types: 1) obtuse scalene triangle, and 2) obtuse isosceles triangles.
The differences between the types are given below:
Area (A) = ½ (b × h), where b = base and h = height
Perimeter (P) = a + b + c, where a, b, c are the measures of three sides
Last modified on August 3rd, 2023
