Question

18. A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house?​

Answer 1

$50.25km$ is the shortest distance between her bank and her house.

Step-by-step explanation:

From the given instruction,

The shortest distance between her bank and her house which it is makes a right angle triangle.

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the square of the other two sides.

So, Apply the Pythagorean theorem

$\[{{(Hypotenuse)}^{2}}={{(Oppositeside)}^{2}}+{{(Adjacentside)}^{2}}\]$

$\[{{(Hypotenuse)}^{2}}={{(50)}^{2}}+{{(5)}^{2}}\]=2500+25=2525$

$\[{{Hypotenuse}}=50.25km$

Hence, the shortest distance between her band and her house is $50.25km$