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\\November 22, 2023 5:10 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Area of the square 36
Area of each triangle = = sq. cm = 18 sq. cm.
2 2
Is this also true for a rectangle? Let us see.

Here, a rectangle whose length is 8 cm and breadth is 6 cm is given.

8 cm 6 cm
Area of the rectangle = 8 cm × 6 cm = 48 sq. cm

Again, the diagonal divides the rectangle in two equal halves and each half is a triangle.
So, area of each triangle = 48 ÷ 2 sq. cm = 24 sq. cm

Now, let us find the area of triangles shown below.
(a) (b)

Step 1: Draw a rectangle around the triangles as shown.
(a) (b)

Step 2: Divide the triangles into two parts as shown.
(a) (b)

Step 3: Shade the rectangles with different colours and find the area of them separately.

(a) (b)
1 2
1
2

220 Mathematics-5