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

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

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the sum of all angles in a hexagon?

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

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

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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What is the square root of 0.25?

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If the radius of a circle is doubled, what happens to its area?

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The LCM of 12 and 15 is:

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