Home
Class 12
MATHS
The point H orthocentre of the triangle ...

The point H orthocentre of the triangle ABC. A point K is taken on the straight line CH such that ABK is a right triangle. Prove that the area of the triangle ABK is the geometric mean between the area of the triangles ABC and ABH.

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE -1|36 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

G is the centroid of the triangle ABC. Prove that the area of the triangle ABG is one third of the area of the triangle ABC.

If H is the orthocentre of the Delta ABC, then find AH.

AD is a median of triangle ABC. G is a mid point of AD. If area of triangle ABC is 16 sq. cm. Find the area of triangle GDC

In a triangle ABC, if angleA=angleB+angleC , the prove that triangle ABC is a right triangle.

X is a point on median AL of triangle ABC. Prove that triangle ABX is equal in area.

Let P, Q, R be the mid-points of sides AB, BC, CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR is

The centroid of a triangle ABC is G. The area of triangle ABC is 60 cm^(2) . The area of triangle GBC is.

In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC.