Right-angled triangle ABC with sides AC = 400 m and AB = 300 m, demonstrating the Pythagorean Theorem to calculate BC.

A diagram of a right-angled triangle ABC with angle BAC = 90°, AC = 400 m, and AB = 300 m, illustrating the application of the Pythagorean Theorem to find the length of BC.

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Show Answer Key & Explanations Step-by-step solution for: Selina Solutions Concise Maths Class 7 Chapter 16 Pythagoras ...

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- The problem provides a right-angled triangle ABC with the right angle at A (angle BAC = 90°).
- The lengths of the two legs are given: AB = 300 m and AC = 400 m.
- The task is to find the length of the hypotenuse, BC.
- According to the Pythagoras Theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- Therefore, BC² = AB² + AC².
- Substituting the given values: BC² = (300)² + (400)².
- Calculating the squares: BC² = 90,000 + 160,000.
- Adding the results: BC² = 250,000.
- Taking the square root of both sides to find BC: BC = √250,000.
- Simplifying the square root: BC = 500 m.

Parent Tip: Review the logic above to help your child master the concept of pythagoras theorem worksheet grade 7.

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