Question

Gaurav went 15km in the east and then 8km in the north. Find the distance between his starting point and final point.

Answer 1

This makes a right angled triangle,
By pythagorus theorem,
$8 { }^{2} + 15 {}^{2} = hypotenuse {}^{2}$

$64 + 225 = hypotenuse {}^{2}$
$289 = hypotenuse {}^{2}$
17km=hypotenuse

17km is the distance between his starting point and final point.

Answer 2

Answer:

let the distance between the starting point and final point be x.

(hypotenuse)²= (base)²+(altitude)²

(x)²=(15km)²+ (8km)²

(x)²= 225km²+ 64km²

(x)²= 289km²

x= √289km²

x =17km