Q45 of 97 Page 187

Can we draw a triangle ABC with AB=3cm, BC=3.5cm and CA=6.5cm? Why?

Our given lengths are AB=3cm, BC=3.5cm and CA=6.5cm.


∴ AB + BC = 3 + 3.5 = 6.5 cm


But CA = 6.5 cm


So, AB + BC = CA


A triangle can be drawn only when the sum of two sides is greater than the third side


So, a triangle cannot be drawn with such lengths


More from this chapter

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43

In the given figure, O is the center of the circle and XOY is a diameter. If XZ is any other chord of the circle, show that XY>XZ.

 44

If O is a point within ∆ABC, show that:

(i) AB+AC>OB+OC


(ii) AB+BC+CA>OA+OB+OC


(iii) OA+OB+OC>(AB+BC+CA)

 1

Which of the following is not a criterion for congruence of triangles?

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If AB=QR, BC=RP and CA=PQ, then which of the following holds?