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

A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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What is the HCF of 72 and 120?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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What is the cube of 4?

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What is the sum of all even numbers between 1 and 100?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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