- A10
- B20
- C11
- D9
Step-by-Step Solution
The path forms a right angle. Distanc → distance = 10 km.
Answer: A) 10
A man walks 6 km east and then 8 km north. How far (in km) is he from his starting point?
Class 7The Triangle and its PropertiesTriangles
Key idea: Pythagoras theorem (right triangles only)
In a **right** triangle, the square of the hypotenuse equals the sum of the squares of the other two sides:
hypotenus = side₁² + side₂²
Classic Pythagorean triple: 3, 4, 5 — because .
Other triples to recognise: (5, 12, 13), (8, 15, 17), (7, 24, 25). The rule only applies when one of the angles is 90°. Never use Pythagoras for non-right triangles.
hypotenus = side₁² + side₂²
Classic Pythagorean triple: 3, 4, 5 — because .
Other triples to recognise: (5, 12, 13), (8, 15, 17), (7, 24, 25). The rule only applies when one of the angles is 90°. Never use Pythagoras for non-right triangles.
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