This document discusses how to find the areas of various figures like triangles and rectangles. It provides the formulas for calculating the area of a triangle based on its base and height. It also states the theorem that triangles with the same base and between the same parallels have equal areas. As an application, it asks the reader to draw triangles of equal area to given triangles in different configurations using the area-preserving property of triangles between parallels. It provides some practice problems and ends by thanking the reader.

2. Can you find the areas of figures?
6cm
3cm
4cm
4cm
2cm
5cm 4cm
3cm

3. A B
PD C
Q
Area of Triangle
The area of the triangle ∆ABP = — x AB x PQ
= — x AB x CB
= — x Area of rectangle ABCD
1
2
1
2
1
2

4. 5cm
4cm
M1
M2
A B
A
RRQP

5. M1
M2
A B
RRQP
‘Triangle with same base and between the same parallels are of equal area’

6. ‘Triangle with same base and
between the same parallels are of
equal area’

7. APPLICATION OF THIS THEOREM
 Can we draw a triangle with the same area as the
triangle ABC shown below, but with the angle at A,
aright angle?
C
BA

8. C
BA
D
Here ∆ ABD is the required triangle

9. Try it also..
o Draw ∆ ABC with AB = 4cm, BC = 5cm and CA =6cm
Draw an isosceles triangle of same area with one side
as AB itself.
o Draw ∆ ABC as in the above problem. Draw triangle of
same area with two of its sides 6cm and 7cm.

10. Thank you
Basil Roy Idiculla
Mathematical science
Mount Tabor Training College
Pathanapuram