- A31 m
- B17 m
- C25 m
- D26 m
Step-by-Step Solution
The diagonal is the hypotenuse of a right triangle with legs 24 m and 7 m: m.
Answer: C) 25 m
A rectangular park ABCD is 24 m long and 7 m wide. Meera walks straight across it along the orange diagonal from D to B. How far does she walk?
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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