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A ladder leans against a wall forming a right triangle with the ground. The wall height (one leg) is 6 m and the ground distance (other leg) is 8 m, hypotenuse being the ladder.
A mid-point bracket is fixed joining the mid-points of the wall and the ground sides. How long is the bracket?

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A4
  • B10
  • C5
  • D6

Step-by-Step Solution

The ladder (hypotenuse) = m. The bracket joins mid-points of the two legs, so it equals half the hypotenuse = m.
Answer: C) 5

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