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Sides AB and AC and median AD of a trian...

Sides AB and AC and median AD of a triangle ABC are proportional to sides PQ and PR and median PM of another triangle PQR. Prove that `triangleABC - trianglePQR` .
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Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of trianglePQR (see Fig.). Show that triangleABC ~ trianglePQR . .

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR are median PN of trianglePQR . Show that triangleABCequivtrianglePQR

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (See Fig ). Show that : DeltaABM ~= DeltaPQN .

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (See Fig ). Show that : DeltaABM ~= DeltaPQN .

If two medians of a triangle are equal, prove that the triangle is isosceles.

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

Q is a point on the side SR of a trianglePSR such that PQ=PR. Prove that PS>PQ.

If in given Fig. , PQ = PT and angleTPS = angleQPR , Prove that triangle PRS is isosceles.

If in given Fig. , PQ = PT and angleTPS = angleQPR , Prove that triangle PRS is isosceles.

If AD and PM are medians of triangles ABC and PQR, respectively where triangleABC~ trianglePQR , Prove that (AB)/(PQ)=(AD)/(PM) . .

MBD-TRIANGLES-EXERCISE
  1. Sides AB and AC and median AD of a triangle ABC are proportional to si...

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  2. Fill in the blank ,- The polygons of same number of sides are similar:...

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  3. Fill in the blank ,- The polygons of same number of sides are similar:...

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  4. Fill in the blank ,- All regular polygons of same number of sides are…...

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  5. Fill in the blank ,- A polygon of 10 sides is ………… to a polygon of 11 ...

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  6. In figure, DE is parallel to BC. If (AD)/(DB)=2/3 and AC:= 18 cm find ...

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  7. Given angleABC and DE || BC AD = 4x - 3, DB = 3x - 1 AE = 8x - 7, EC =...

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  8. M and N are points on the sides PQ and PR respectively of anglePQR. If...

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  9. In figure AB = 6 cm, AH = 8 cm, CK = 2.4 cm, BC || HK, calculate AK. ...

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  10. Points P, Q and R lie on sides BC, CA and AB respectively of triangle ...

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  11. Infigure, if AB II DC,find the value of x . .

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  12. In the given figure, DE || BC. If AD = 3.6 cm, AB = 9 cm and AE = 2.4 ...

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  13. In the given figure, DE || BC. If (AD)/(DB)=3/5 AC = 5.6 cm, find AE....

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  14. In the given figure, DE || BC. If AD = x cm, DB = (x - 2) cm, AE = (x...

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  15. In the given figure, AB || PQ and AC || PR. Prove that BC || QR. .

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  16. Examine each pair of triangles in figures and state which pair of tria...

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  17. Examine each pair of triangles in figures and state which pair of tria...

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  18. Examine each pair of triangles in figures and state which pair of tria...

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  19. In fig., angleA=angle1 Prove that triangleBDE~triangleBCA . .

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  20. In figure AB bot BC and DE bot AC. Prove that triangleABC ~ triangleAE...

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  21. A vertical stick 20 cm long casts a shadow 6 cm long on the ground. At...

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