Practice30Create account

What is the ratio of the perimeter of triangle ADE to the perimeter of triangle ABC, if DE || BC with D on AB and E on AC, and AD = 4 cm, DB = 6 cm, AE = 6 cm and EC = 9 cm?

Class 10Basic Proportionality TheoremGeometry — Similarity
  • A2 : 5
  • B4 : 6
  • C2 : 3
  • D4 : 10

Step-by-Step Solution

Triangle ADE ~ ABC with . The perimeter ratio equals the similarity ratio = 2 : 5.
Answer: A) 2 : 5

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 Basic Proportionality Theorem practice questions

More Class 10 Basic Proportionality Theorem practice

In triangle PQR, S is on PQ and T is on PR. PS = 4 cm, SQ = 4.5 cm, PT = 4 cm, TR = 4.5…Line DE is parallel to side BC of triangle ABC. If AD = 5 cm, DB = 10 cm, and the area…Find the area of triangle ADE (in sq cm) when DE || BC in triangle ABC, AD = 2 cm, DB =…Surveyor Anita reads AD = (3x + 4) m, DB = (x + 1) m, AE = (4x + 2) m and EC = (2x - 1)…D is the midpoint of side AB of triangle ABC, and DE || BC meets AC at E. If BC = 12 cm,…