Home
Class 9
MATHS
Prove that the sum of three altitudes dr...

Prove that the sum of three altitudes drawn from the vertices to opposite sides of a triangle is less than the sum of three sides.
or
Prove that the perimeter of a triangle is greater than the sum of three altitudes drawn from the vertices to opposite of a triangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Type Question)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Exercise 7a|35 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Prove that the perimeter of any triangle is greater than the sum of three altitudes.

Prove that the perimeter of a triangle is greater than the sum of its altitudes.

Prove that the perimeter of a triangle is greater than the sum of its three medians.

Prove that the sum of the vectors directed from the vertices to the mid-points of opposite sides of a triangle is zero.

Sum of any two sides of a triangle is not less than the third side

The sum of three altitudes of a triangle is

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle.

Sum of any two sides of a triangle is greater than the third side.