Practice30Create account

Angles B and C of triangle ABC both measure 70°.
A student says side AB equals side AC and both are longer than BC. Is the full statement correct?

Class 9Inequalities in a TriangleGeometry — Triangles
  • AYes; AB = AC and both > BC
  • BNo; AB = AC but BC is longest
  • CNo; all sides equal
  • DNo; AB > AC > BC

Step-by-Step Solution

angle B = angle C = 70°, so AB = AC (sides opposite equal angles). angle A = 180 - 140 = 40° is the smallest angle, so BC (opposite A) is the shortest side. Hence the equal sides AB and AC are both longer than BC, exactly as the student said.
Answer: A) Yes; AB = AC and both > BC

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Inequalities in a Triangle practice questions

More Class 9 Inequalities in a Triangle practice

In any triangle, the sum of two sides is greater than twice the median to the third…P is any point inside triangle ABC. Using the result that the sum of distances from an…In any triangle, the side opposite the greater angle is:In triangle ABC, angle A = 80°, angle B = 60°, angle C = 40°. Which is the longest side?In triangle PQR, angle P = 50°, angle Q = 70°, angle R = 60°. Which is the shortest side?