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In Fig. ABD is a triangle right angled a...

In Fig. ABD is a triangle right angled at A and AC `bot` BD show that
(i) `AB^(2) =BC . BD` , (ii) `AC^(2) = BC . DC` , (iii) `AD^(2) = BD . CD`

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Verified by Experts

The correct Answer is:
(i) `AB^(2) = BC xx BD. . .(1)` , (ii) `AC^(2) = BC xx CD` , (iii) `AD^(2) = DC xx BD`
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CPC CAMBRIDGE PUBLICATION-TRIANGLES-Exercise 2.5
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  3. In Fig. ABD is a triangle right angled at A and AC bot BD show that ...

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  4. ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2A...

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  5. ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2) , prove t...

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  6. ABC is an equilateral of side 2a . Find each of its altitudes.

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  7. Prove that sum of the squares of the side of a rhombus is equal to th...

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  8. In fig . O is a point in the interior of a triangle ABC , OD bot BC ,...

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  9. A ladder 10 m long reaches a window 8 m above the ground. Find the di...

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  10. A guy wire attached to a vertical pole of height 18 m is 24 m long and...

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  13. D and E are points on the sides CA and CB respectively of a triangle A...

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  14. The perpendicular from A on side BC of a DeltaABC intersects BC at D...

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  15. In an equilateral triangle ABC , D is a point on side BC such that BD ...

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  16. In an equilateral triangle , prove that three times the square pf one ...

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  17. In Delta ABC ,AB = 6 sqrt(3) cm AC = 12 cm and BC = 6 cm . The an...

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