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If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(ii)`AB^2=ADxxAC`

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If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(i) BD^2=ADxxDC

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(iii) BC^2=CDxxAC

If angleC of the isosceles triangle ABC is measure 90^@ , then prove that AB^2=2AC^2 .

The perpendicular from C on the side AB of a triangle ABC intersect AB at D and BD=mAD . Prove that (m+1)BC^2=(m+1)AC^2+(m-1)AB^2 .

If D is the middle point of the side BC of the triangle ABC, prove that AB^2 + AC^2 = 2(AD^2 + DC^2) .

In the right triangleACB, angleC=90^@ and CD_|_AB .Prove that, (BC^2)/(AC^2)=(BD)/(AD)

O is a point in the interior of ∆ABC . OD,OE and OF are the perpendicular drawn to the sides BC, CA and AB respectively. Prove that AF^2+BD^2+CE^2=AE^2+BF^2+CD^2 .

ABC is a right angled triangle right angled at C. CD is perpendicular on the hypotenuse AB. Prove that (AC^2)/(BC^2)=(AD)/(DB)

ABC is a right angled triangle right angled at C. CD is perpendicular on the hypotenuse AB. Prove that (BC^2)/(AC^2)=(DB)/(AD) .

The right bisector of AB and AC of the triangle ABC intersect at 0. Prove that OA = OB = OC .

R G PUBLICATION-TRIANGLES-EXERCISE
  1. If BD is the perpendicular drawn from the vertex B of the right triang...

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  2. All circles are . (congruent, similar)

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  3. All squares are -. (Similar, congruent)

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  4. All triangles are similar. (isosceles, equilateral)

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  5. Two polygons of the same number of sides are similar, if(a) their corr...

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  6. Two polygons of the same number of sides are similar, if(b) their corr...

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  7. Give two different examples of pair of(i) similar figures

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  8. Give two different examples of pair of((ii) non-simiIar figures

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  9. State whether foIIowing quadrilaterals are similar or not:

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  10. In fig(i) ,DE||BC.Find EC in (i).

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  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

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  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

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  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

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  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

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  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

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  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

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  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

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  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

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