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

If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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The probability of rolling a sum of 7 with two dice is:

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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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What is the cube root of 729?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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