Question

5
1. Draw a quadrilateral with given measures.
Draw a triangle of the same area as that of the quadrilateral
. (4)
6
7
4
5
8​

Answer 1

Answer:

Let ABC be the given triangle. We are to construct a triangle equal in area to this triangle.

Principle followed

The areas of all triangles of same base are same if they are placed in between two parallel sraight lines.

Steps

A straight line PQR parallel to base BC is drawn with the help of a ruler and a compass.

B and C may be joined with any point on the line PQR to get a triangle equal in area of triangle ABC. Here

Δ

P

B

C

,

Δ

Q

B

C

,

Δ

R

B

C

are three triangles drawn , which are equal in area of

Δ

A

B

C