Question

Could 7.7\text{ cm}, 4.0\text{ cm},7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and 1.7\text{ cm}1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?

Answer 1

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.