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A right triangle has hypotenuse 26 cm and one leg 24 cm. Find the other leg in cm.

Class 7The Triangle and its PropertiesTriangles
  • A2
  • B100
  • C35
  • D10

Step-by-Step Solution

→ → → cm. Trap: adding the squares instead of subtracting (nothing may be added to the hypotenuse, which is already the largest side), subtracting the lengths themselves to get 26 − 24 = 2, or stopping at without taking the square root.
Answer: D) 10

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.

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