A ladder 10m long was rested along a wall such that its top reaches to a height of 8m from - Maths - The Triangle and its Properties

Question

A ladder 10m long was rested along a wall such that its top reaches
to a height of 8m from the ground along the wall How far is the
foot of the ladder from the wall ?

Varun.Rawat · Accepted Answer

Let AC be the ladder and AB be the wall
Now, AB = 8 m; AC = 10 mIn ∆ABC,    AC2 = AB2 + BC2    Pythagoras theorem⇒102 = 82 + BC2⇒100 = 64 + BC2⇒BC2 = 100-64⇒BC2 = 36⇒BC = 6 mSo, foot of the ladder is 6 m away from the wall

A ladder 10m long was rested along a wall such that its top reaches to a height of 8m from the ground along the wall. How far is the foot of the ladder from the wall ?