Home
Class 10
MATHS
In the figure PQ is parallel to MN if (K...

In the figure PQ is parallel to MN if `(KP)/(PM)= 4/13 and KN=2.4`.
Find KQ.

Text Solution

Verified by Experts

Given In DeltaKMN,PQ||MN
`(KP)/(PM)= (KQ)/(QN)` ( by B.P.T or Thale's theorem)
Let KQ=x, then QN= 20.4 -x
now from (1)
`4/13 = x/(20.4-x)`
`81.6-4x = 13x`
`17x= 81.6`
x= 4.8 cm
Therefore KQ= 4.8 cm
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/ Exemplar|14 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Exercise 6a|23 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

In Figure PQ is parallel to MN. if (KP)/(PM)=4/13 and KN=20.4cm. Find KQ .

In figure,PQ is parallal to MN.If KP/PM =4/13 and KN=20.4cm. Find KQ.

In the given figure PQ is parallel to MN . If (KP)/(PM) = (4)/(13) and KN = 20.4 cm then find KQ = …………

In the following figure, PQ is parallel to BC and PQ:BC =1 :3 . If the area of the triangle ABC is 144 cm^2 , then what is the area of the triangle APQ?

In the following figure, PQ is parallel to BC and PQ:BC =1 :3 . If the area of the triangle ABC is 144 cm^2 , then what is the area of the triangle APQ?

In the figure given above, PQ is parallel to Rs. What is angle NMS equal to

In the figure given below, YZ is parallel to MN, XY is parallel to LM and XZ is parallel to LN. Then, MY is

In the figure given above YZ is parallel to MN, XY is parallel to LM and XZ is parallel to LN. Then MY is :

In the figure given below RS is parallel to PQ. what is angle between lines PQ and LM?

In figure prove that MN+NO+OP+PM gt 2MO