Practice30Create account

The perimeters of two similar triangles are in the ratio 3 : 5. What is the ratio of their corresponding altitudes?

Competition practiceGeometry
  • A3 : 5
  • B9 : 25
  • C5 : 3
  • D√3 : √5

Step-by-Step Solution

In similar triangles every pair of corresponding lengths (sides, altitudes, medians, perimeters) is in the same ratio, so the altitudes are 3 : 5. Only areas go as the square, 9 : 25.
Answer: A) 3 : 5

Master this topic in 30 minutes a day.

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

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

Each side of an equilateral triangle measures 9 cm. How far is its centroid from each…A triangle has sides of 9 cm, 10 cm and 17 cm. What is the radius of its incircle?An isosceles triangle has two equal sides of 17 cm each and a base of 16 cm. Find its…G is the centroid of a triangle ABC whose area is 72 cm², and D is the midpoint of BC.…Two similar triangles have areas of 81 cm² and 144 cm². The altitude of the larger one…