Topic Details (Notes format)

How to Solve Right Triangle Word Problems

Subject: Mathematics

Book: Maths Mastery

Real-life applications often involve right triangles—like ladders against walls, ramps, or roof slopes. Start by identifying the right angle, labeling known sides, and deciding if Pythagorean Theorem or trigonometric ratios apply. For example, if a ladder reaches 10 m high on a wall and forms a right triangle with the ground, you can solve for the ladder’s length or the distance from the wall using a² + b² = c² or sin/cos/tan if angles are involved. This method underpins construction, navigation, and physics scenarios, making right triangle problem-solving invaluable in daily life and professional tasks.

Practice Questions

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

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

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What is the value of log₃(27)?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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

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