Home
Class 12
MATHS
The sides of a triangle ABC are as shown...

The sides of a triangle ABC are as shown in the given figure. Let D be any internal point of this triangle and let e,f and g denote the distance between the point D and the sides of the triangle. The sum `(5e +12f +13g)` is equal to

A

120

B

90

C

60

D

30

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

D,E and F are the middle points of the sides of the triangle ABC, then

Let the point P lies in the interior of an equilateral triangle with side lengths 2 units, each. Find the sum of the shortest distances from P to the sides of the triangle.

In an acute angled triangle ABC , let AD, BE and CF be the perpendicular opposite sides of the triangle. The ratio of the product of the side lengths of the triangles DEF and ABC , is equal to

Let ABC be a triangle of area 24sq.units and PQR be the triangle formed by the mid-points of the sides triangle ABC. Then what is the area of triangle PQR.

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If AC = 1, then the length of the median of triangle ABC through the vertex A is equal to

An equilateral triangle ABC is cut from a thin solid sheet of wood .(see figure ) D,E and F are the mid-points of its sides as shown and G is the centre of the triangle.The moment of inertia of the triangle about an axis passing through G and perpendicular to the plane to the triangle is I_(0) If the smaller triangle DEF is removed from ABC , the moment of inertia of the remaining figure about the same axis is I. Then :

Construct a triangle similar to a given triangle ABC with its sides equal to 5/3 of the corresponding sides of the triangle ABC (i.e., of scale factor 5/3 ).

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=