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CBSE NCERT Solutions for Class 7 Maths Chapter 6:
Is it possible to have a triangle with the following sides?
(i) 2 cm, 3 cm, 5cm
(ii) 3 cm, 6 cm, 7cm
(iii) 6 cm, 3 cm, 2cm
Since, a triangle is possible whose sum of the lengths of any two sides would be greater than the length of third side.
(i) 2 cm, 3 cm, 5cm (ii) 3 cm, 6 cm, 7cm
2 + 3 > 5 No 3 + 6>7 Yes
2 + 5>3 Yes 6 + 7>3 Yes
3 + 5>2 Yes 3 + 7>6 Yes
This triangle is not possible. This triangle is possible.
(iii) 6 cm, 3 cm, 2 cm
6 + 3 >2 Yes
6 + 2>3 Yes
2 + 3>6 No
This triangle is not possible
The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?
Since, the sum of lengths of any two sides in a triangle should be greater than the length of third side.
It is given that two sides of triangle are 12 cm and 15 cm. Therefore, the third side should be less than 12 + 15 = 27cm.
And also the third side cannot be less than the difference of the two sides. Therefore, the third side has to be more than 15 – 12 = 3cm.
Therefore, the third side could be the length more than 3 cm and less than 27cm
In triangle PQR, D is the mid-point of QR
PM is ------------------
Is QM = MR?
Given: QD = DR
∴ PM is altitude.
PD is median.
No, QM ≠ MR as D is the mid-point of QR.