Topic Details (Notes format)

How to Use Similar Triangles

Subject: Mathematics

Book: Maths Mastery

Triangles are similar if their corresponding angles are equal and side ratios are proportional. For instance, if two triangles share angles 30°, 60°, and 90°, they are similar. This property allows you to deduce unknown side lengths by setting up proportions. Similar triangles arise in map reading (scale factor), architectural design (enlarging or reducing shapes), and trigonometric problems. Mastering similarity fosters an ability to navigate geometric relationships swiftly, making it invaluable for tasks involving scaling or indirect measurements.

Practice Questions

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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What is the sum of all odd numbers from 1 to 99?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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If two complementary angles differ by 30°, what are the angles?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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