Question
State the basic proportionality theorem.
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Answer
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct point, then the other sides are divided in the same ratio.
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Similar questions
The production yield per hectare of wheat of some farms of a village are given in the following table:
Draw a less than type ogive and a more than type ogive for this data.
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Production yield (in kg/ha)
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40-45
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45-50
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50-55
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55-60
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60-65
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65-70
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70-75
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75-80
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80-85
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Number of farms
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1
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9
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15
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18
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40
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26
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16
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14
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10
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Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number.
$\triangle\text{ABC}\sim\triangle\text{DEF}$ such that $\text{ar}(\triangle\text{ABC})=64\text{cm}^2$ and $\text{ar}(\triangle\text{DEF})=169\text{cm}^2.$ If BC = 4cm, find EF.
→The rain water from a 22m × 20m roof drains into a cylindrical vessel of diameter 2m and height 3.5m. If the rain water collected from the roof fills $\frac{4}{5}\text{th}$ of the cylindrical vessel, then find the rainfall in centimetre.
→Find the values of k for which the given quadratic equation has real and distinct roots:
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In the given figure, three sectors of a circle of radius 7cm, making angles of 60°, 80° and 40° at the centre are shaded. Find the area of the shaded region.
Solve the following quadratic equations by factorization:
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→$\frac{\text{a}}{\text{x}-\text{b}}+\frac{\text{b}}{\text{x}-\text{a}}=2$
The sides of certain triangles are given below. Determine them are right triangles:
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