Home
Class 9
MATHS
In a parallelogram PQRS, PQ = 12 cm and ...

In a parallelogram PQRS, PQ = 12 cm and PS = 9 cm. The bisector of `angle P` meet SR in M. PM and QR both when produced meet at T. Find the length of RT.

Text Solution

Verified by Experts

The correct Answer is:
3 cm
`angle QPM= angle SPM= theta (because PM " is besector of " angle P)`
`angle QPM = angle PMS= theta ("alt. interior " angle) rArr PS= SM=9cm. `
`angle RMT = angle PMS=theta ("vert. opposite "angle )`
`angle RTM=angle SPM=theta ("alt. interior " angle)`
`rArr RT=RM=SR -SM =(12-9)cm =3cm.`
Promotional Banner

Similar Questions

Explore conceptually related problems

In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of angleA meets DC in E. AE and BC produced meet at F. Find the length of CF.

In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of /_A meets DC in E. AE and BC produced meet at F. Find the length of CF.

In a parallelogram PQRS, the bisectors of angle P and angle Q meet at O. Find angle POQ.

In the given figure , PQRS is a parallelogram with PQ = 16 cm and QR = 10 cm . L is a point on PR such that RL:LP=2:3QL is produced to meet RS at M and PS produced at N . Find the length of PN and RM (in cm ) respectively .

Construct a parallelogram PQRS, when PQ =3.7cm, QR =2.3 cm and PR=4.8 cm.

In parallelogram MODE, the bisector of angle M and angle O meet at Q, find the measure of angle MQO.

In a parallelogram PQRS, the bisectors of /_P and /_Q meet on RS.If the perimeter PQRS is 13.5 cm, then find the measure of QR

In anglePQR , if PQ = 6 cm , PR = 8 cm, QS = 3 cm and PS is the bisector of angle QPR , what is the length of QR ?