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

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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What is the sum of all even numbers between 1 and 50?

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

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If x^2 - 6x + 9 = 0, what is the value of x?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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What is the sum of the first 10 positive even numbers?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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