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In DeltaABC, if BC gt AC gt AB then : ...

In `DeltaABC`, if `BC gt AC gt AB` then :
(i) What is the relation `angleA` and `angleC` ?
(ii) What is the relation between the values of `(AB+AC)` and `BC` ?
(iii) What is the relation between the values of `(AC - BC)` and `AB` ?
(iv) What is the smallest angle in `DeltaABC` ?

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Verified by Experts

The correct Answer is:
(i) `angleA gt angleC` (ii) `AB+AC gt BC` (iii) `AC - BC lt AB` (iv) `angleC`
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7b
  1. In DeltaABC, AB = 8 cm, BC=15 cm and AC = 17 cm. find the largest angl...

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  2. In DeltaABC, angleA=50^(@), angleB=60^(@). Find the largest side.

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  3. In the adjoining figure, write the sides of DeltaABC in descending ord...

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  4. In the adjoining figure, explain : (i) which side is the greatest si...

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  5. In the adjoining figure, (i) Which side is smallest ? (ii) In Delt...

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  6. In the adjoining figure, x gt y, Prove that AB gt AC

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  7. In the adjoining figure, AB gt AC and the angle bisectors of angleB an...

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  8. Prove that sum of any two sides of a triangle is greater than twice th...

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  9. In the adjoining figure, PQ=PR. Show that PS gt PQ.

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  10. Prove that the perimeter of a triangle is greater than the sum of i...

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  11. Prove that the sum of the sides of a quadrilateral is greater than twi...

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  12. Prove that in a quadrilateral the sum of all the sides is greater t...

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  13. Prove that the perimeter of a triangle is greater than the sum of it...

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  14. In the adjoining figure, P is an interior point of DeltaABC. Then prov...

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  15. In DeltaABC, if BC gt AC gt AB then : (i) What is the relation angle...

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  16. In the adjoining figure, line segment PA, PB and PC are drawn from poi...

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  17. Show that in a right angled triangle, the hypotenuse is the longest si...

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