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Suppose angle A = angle B + angle C in triangle ABC.
Which side is the longest, and what kind of triangle is it?

Class 9Inequalities in a TriangleGeometry — Triangles
  • ABC is longest; right-angled at A
  • BAB is longest; acute
  • CCA is longest; obtuse at C
  • Dall sides equal; equilateral

Step-by-Step Solution

angle A + angle B + angle C = 180 and angle A = angle B + angle C give 2 angle A = 180, so angle A = 90°. The right angle A is largest, so BC (opposite A) is the longest side; the triangle is right-angled at A.
Answer: A) BC is longest; right-angled at A

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