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

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

If the radius of a circle is 7 cm, what is its circumference?

View Question

If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

View Question

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

View Question

The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

View Question

What is the sum of the first 20 odd numbers?

View Question

If sin(A) = 1/2 and A is acute, what is the value of A?

View Question

What is the square root of 144?

View Question

How many diagonals does a pentagon have?

View Question