Question

mn || Qr, if pm=x cm, Mq = 10 cm , pn=(x-2) cm, NR=6 cm find x

Answer 1

Step-by-step explanation:

by the basic proportanality theorem we get

x= 5

Answer 2

(The question can be solved only after it is attached to a diagram. The diagram, in this case, will be a triangle PQR with QR being its base.)

Given,

MN || QR

PM = x cm

MQ = 10 cm

PN = (x-2) cm

NR = 6 cm

To find,

The value of x.

Solution,

We can easily solve this problem by following the given steps.

Now,

MN || QR

According to the proportionality theorem in a triangle,

PM/MQ = PN/NR

Putting the values of different sides, we get

x/10 = (x-2)/6

Using the cross multiply method,

6x = 10(x - 2)

6x = 10x - 20

6x - 10x = - 20

- 4x = - 20

x = 20/4

x = 5 cm

( All the sides are given in centimetres, so the value of x will also be in centimetres.)

Hence, the value of x is 5 cm.