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sides AB and BC and median AD of a triangle ABC are respectively proportional to side PQ and QR median PM of `DeltaPQR` (see Fig ). Show that `DeltaABC~DeltaPQR`

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side AB and AC and median AD od a triangle ABC are respectively proportional to side PQ and PR and median PM of another triangle PQR. Show that DeltaABC~DeltaPQR

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of Delta PQR. Show that Delta ABM ~= Delta PQN (ii) Delta ABC ~= Delta PQR

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

S and T are points on sides PR and QR of DeltaPQR such that angleP = angleRTS . Show that DeltaRPQ ~DeltaRTS .

In Fig. If Delta ABE = ACD , show that Delta ADE ~ Delta ABC .

If AD and PM are median of triangles ABC and PQR respectively where Delta ABC - Delta PQR , prove that (AB)/(PQ) = (AD)/(PM) .

D, E and F are respectively the mid-points of sides AB, BC and CA of Delta ABC . Find the ratio of the areas of Delta DEF and Delta ABC .

D,Eand F are respectively the mid - points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF and DeltaABC.

If Adand PM are medians of triangles ABC and PQR, respectively where DeltaABC ~ DeltaPQR , prove that (AB)/(PQ) =(AD)/(PM)

The sides AB and AC and the perimeter P_(1) of DeltaABC are respectively three times the corresponding sides DE and DF and the perimeter P_(2) of DeltaDEF . Are the two triangles similar? If yes, find (ar(DeltaABC))/(ar(DeltaDEF)) .

SUBHASH PUBLICATION-TRIANGLES -EXERCISE 2.3
  1. Diagonals AC and BD of a trapezium ABCD with AB|| DC intersect each ot...

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  2. In Fig (QR)/(QS)=(QT)/(PR)= and angle1 = angle2. show that DeltaPQS ~D...

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  3. S and T are points on sides PR and QR of DeltaPQR such that angleP = a...

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  4. In Fig , if DeltaABE angleDeltaACD , show that DeltaADE ~ DeltaABC

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  5. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

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  6. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

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  7. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

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  8. In Fig , altitudes AD and CE of triangle ABC intersect each other at t...

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  9. E is a point on the side AD produced of a parallelogram ABCD and BE in...

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  10. In Fig , ABC and AMP are two right triangles, right angled at B and M...

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  11. In Fig , ABC and AMP are two right triangles, right angled at B and M...

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  12. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

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  13. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

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  14. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

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  15. In Fig E is a point on side CB produced of an isosceles triangle ABC ...

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  16. sides AB and BC and median AD of a triangle ABC are respectively prop...

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  17. D is a point on the side BC of a triangle ABC such that angleADC=angl...

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  18. side AB and AC and median AD od a triangle ABC are respectively propor...

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  19. A verticle pole of height 6m casts a shadow 4m long on the ground, and...

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  20. If Adand PM are medians of triangles ABC and PQR, respectively where D...

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