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A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a Find the distance of the foot of the ladder from the wall

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NCERT Solutions for Class 7 Mathematics Chapter 6
Important NCERT Questions
Class vii Math Chapter 6 The Triangles and Its Properties Exercise 6.5
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 3

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1 Answer

  1. Let AC be the ladder and A be the window.
    Given: AC = 15 m, AB = 12 m, CB = a m
    In right angled triangle ACB,
    (Hypotenuse)² = (Base)² + (Perpendicular)² [By Pythagoras theorem]
    ⇒ (AC)² = (CB)² + (AB)²
    ⇒ (15)² = (a)² + (12)²
    ⇒ 225 = a² + 144
    ⇒ a² = 225 – 144 = 81
    ⇒ a √81 = 9 cm

    Thus, the distance of the foot of the ladder from the wall is 9 m.

    Class 7 Maths Chapter 6 Exercise 6.5

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-6/

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