Home
Class 10
MATHS
In DeltaPQR,ST is a line such that (PS)/...

In `DeltaPQR`,ST is a line such that `(PS)/(SQ)=(PT)/(TR)` and also `angle PST=anglePRQ`. Prove that `DeltaPQR` is an isosceles Triangle.

Answer

Step by step text solution for In DeltaPQR,ST is a line such that (PS)/(SQ)=(PT)/(TR) and also angle PST=anglePRQ. Prove that DeltaPQR is an isosceles Triangle. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 8.2|17 Videos

  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 8.3|8 Videos

  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise TRY THIS|21 Videos

  • SETS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS OF CCE MODEL EXAMINATION|116 Videos

  • STATISTICS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|146 Videos

Similar Questions

Explore conceptually related problems

In DeltaPQR , ST is a line such that (PS)/(SQ)=(PT)/(TR) and also angleTSP=anglePRQ .

In /_\PQR , ST is a line such that (PS)/(SQ)=(PT)/(TR) and also /_TSP=/_PRQ . Prove that /_\PQR is an isosceles triangle.

Knowledge Check

  • In the figure (PS)/(SQ)=(PT)/(TR) and anglePST=anglePRQ then DeltaPQR is……………….triangle.

    A
    isosceles
    B
    equilateral
    C
    scalene
    D
    none

    • Similar Questions

    Explore conceptually related problems

    If (a^2 +b^2)/( a^2 - b^2) = ( sin C)/( sin (A -B) ) , prove that Delta ABC is either isosceles or right angled.

    In a DeltaABC " if " a cosA=bcosB the prove that triangle is either isosceles or right angled .

    Draw the lines of symmetry for Right angled Isosceles triangle.

    In Delta ABC , if a cos A = b cos B , prove that the triangle is either isosceles or right angled.

    In DeltaPQR, PQ=PR and PS is angle bisector of angleP . Are DeltaPQS and DeltaPRS congruent? If yes, give reason.

    In the figure , in DeltaPQR,QR////ST, (PS)/(SQ)=3/5 and PR=28 cm then PT=……….cm.

    If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

    Home
    Profile