Question

, q and r are three towns. The distance between p and q is 60 km, whereas the distance between p and r is 80 km. Q is in the west of p and r is in the south of p. What is the distance between q and r?

Answer 1

Distance between Q & R = 100 km , if P & Q are 60 km apart & P &R are 80 km Apart Q is in west of P & R is in South of P

Step-by-step explanation:

                  NORTH

WEST                                 EAST

                   SOUTH

Q is in the west of p and r is in the south of p

=>

Q            P

       

             R

Distance between P & Q = 60 km

Distance between P & R = 80 km

Both Distance are perpendicular to each other

Applying Pythagoras theorem

QR² = PQ² + PR²

=> QR² = 60² + 80²

=> QR² = 3600 + 6400

=> QR² = 10000

=> QR² = 100²

=> QR = 100

Distance between Q & R = 100 km

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Answer 2

The distance between Q and R=100 km

Step-by-step explanation:

Distance between P and Q=60 km

Distance between P and R=80 km

In right triangle RPQ

$QR^2=RP^2+QP^2$

Using Pythagoras theorem

$(Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2$

Substitute the values then we get

$QR^2=(60)^2+(80)^2$

$QR^2=3600+6400$

$QR^2=10000$

$QR=\sqrt{10000}=100$

Distance is always positive.

Hence, the distance between Q and R=100 km

#Learns more:

in/question/1313116https://brainly.:answered by Khushboo bhaskar