Question

Q.7) Base of a triangle is 15 and height is 6. Base of another triangle is 12 and height is 5. Then the ratio of the areas of these triangles are ANSWER
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Answer 1

Step-by-step explanation:

Area(△PQR)

Area(△ABC)

=

2

1

×PM×QR

2

1

×AC×BC

=

2

1

×6×10

2

1

×5×9

=

4

3

Hence, Ratio of Area of △ABC:Area of △PQR=3:4

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Answer 2

Let the base, height and area of the first triangle be b1 , h1 , and A1 respectively. Let the base, height and area of the second triangle be b2 , h2 and A2 respectively.

A1/A2 = (b1 x h1)/(b2 x h2) ...[Ratio of areas of two tringles is equal to the product of their bases and corresponding ]

A1/A2 = (9 x 5)/(10 x 6) = 45/60 A1/A2 = 3/4

∴ The ratio of areas of the tringles is 3:4.