Construct a triangle with side- lengths 3 cm, 4 cm, and 8 cm. Class 7

Construct a triangle with side- lengths 3 cm, 4 cm, and 8 cm. Class 7

Question 1.

Construct a triangle with side - lengths 3 cm, 4 cm, and 8 cm. What is happening? Are you able to construct the triangle? Class 7

Solution:

We are unable to draw the triangle. No.

Question 2.

Here is another set of lengths : 2 cm, 3 cm, and 6 cm. Check if a triangle is possible for these sidelengths. Class 7

Solution:

No.

Question 3.

Try to find more sets of lengths for which a triangle construction is impossible. See if you can find any pattern in them. Class 7

Solution:

Some of the sets of lengths are :

1 cm, 1 cm, 3 cm

2 cm, 3 cm, 5 cm 4 cm, 6 cm, 10 cm

3 cm, 9 cm, 14 cm, etc.

Sum of two sides is less than or equal to the third side.

Question 4.

Can this understanding be used to tell something about the existence of a triangle having side-lengths 10 cm, 15 cm and 30 cm? Class 7

Solution:

Triangle cannot be constructed because (10 cm + 15 cm) = 25 cm < 30 cm.