Question

Ajay and Rahul decided to trek and reach the peak of a hill through different routes. Both start from point A; Ajay first goes to point B and then climbs vertically to reach the peak, whereas Rahul treks on the slanted side of the hill and reaches the peak at the same point. How much distance did Rahul cover? 40 m 9m


answer is =ajay =49m
rahul=41m


I ONLY WANT EXPLANATION ​

Answer 1

$\huge\text{Question -}$

Ajay and Rahul decided to trek and reach the peak of a hill through different routes. Both start from point A; Ajay first goes to point B and then climbs vertically to reach the peak, whereas Rahul treks on the slanted side of the hill and reaches the peak at the same point. How much distance did Rahul cover?

$\huge\text{Answer - }$

[ Important note - Hi! I think there is some mistake in the figure if the answers are ajay = 49m and rahul = 41m ]

like see the figure (1) that I have provided !

now, we can find the answer,

Now see the figure (2)

by which we can state that,

★ Distance Covered by Ajay - AB + BC

$: \Longrightarrow\sf{ 40 + 9}$

$: \Longrightarrow\sf \bold{ 49}m$

and

★ Distance Covered by Rahul - AC

we will find the distance covered bye rahul by Applying the Pythagorean theorem ,

$: \Longrightarrow\sf{ {AC}^{2}= {BC}^{2} + {AB}^{2} }$

$: \Longrightarrow\sf{ {AC}^{2}= {40}^{2} + {9}^{2} }$

$: \Longrightarrow\sf{ {AC}^{2}=1600+ 81 }$

$: \Longrightarrow\sf{ {AC}^{2}=1681 }$

$: \Longrightarrow\sf{ {AC} = \sqrt{16 81} }$

$: \Longrightarrow\sf{ {AC} = 41 }$

$: \Longrightarrow\sf \bold{ 41}m$