Practice30Create account

D is a point on side BC of triangle ABC (between B and C).
Using the triangle inequality on triangle ABD, which statement is always true?

Class 9Inequalities in a TriangleGeometry — Triangles
  • AAB + BD > AD
  • BAB + BD < AD
  • CAB + BD = AD
  • DAB + AD < BD

Step-by-Step Solution

In triangle ABD, the sum of two sides AB and BD must be greater than the third side AD, by the triangle inequality.
Answer: A) AB + BD > AD

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

Take triangle ABC with AB = 4 cm and AC = 5 cm, and a point P on side AC. Which…Three towns Patna, Gaya and Ranchi form a triangle. Patna-Gaya = 100 km and Gaya-Ranchi…ABC is a triangle with angle B = 90° and AB = BC. Compare the hypotenuse AC with side AB.Suppose angle A = angle B + angle C in triangle ABC. Which side is the longest, and what…In a quadrilateral ABCD, the diagonals AC and BD intersect at O. Using the triangle…