Question

Meg lives in Indianapolis and wants to visit her mom in Lima.


How many more kilometers would Meg drive if she drove to Lima through Dayton?

Answer 1

Answer:

8

Step-by-step explanation:

by the pythagoras theorem

(perpendicular)²+(base)²=(hypotenuse)²

x+165=173

x=173-165

x=0

Answer 2

Given are the distances of Lima and Dayton from Indianapolis, find the extra distance from Indianapolis to Lima through Dayton.

Explanation:

• Let Indianapolis be denoted by point 'I', Lima be denoted by point 'L', and Dayton be denoted by point 'D'.
• Now in triangle LID the angle D is a right angle which makes the triangle a right angled triangle.
• Therefore according to Pythagoras Theorem we know that in a triangle having base 'B', perpendicular 'P', and hypotenuse 'H',   $H^2=B^2+P^2$  
• Now for the triangle LID, $H=LI=173, \ \ B=ID=165,\ \ P=DL=x$
• hence we get,      
•                        $173^2=165^2+x^2\\->x=\sqrt{173^2-165^2}\\ ->x=\sqrt{2704}\\ ->x=52$      
• The extra distance 'd' to Lima through Dayton is, $d=(ID+DL)-LI\\d=165+52-173\\d=44\ km$     ------->Answer.