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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What is the area of an equilateral triangle with side length 10 cm?

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What is the value of x if log(x) + log(4) = log(32)?

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What is the square root of 121?

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If a square has a perimeter of 64 cm, what is its area?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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If x^2 - 5x + 6 = 0, what are the roots?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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What is the LCM of 15 and 20?

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