Could 7.7 cm , 4.0 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 cm 1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?

Respuesta :

Answer:

With given side lengths a triangle could not be created.

Step-by-step explanation:

Given:

First side length = 7.7 cm

Second side length = 4.0 cm

Third side length = 1.7 cm

We need find whether this could be the side length of the triangle.

Solution:

Now we know that;

By Triangle In equality property which states that;

"Sum of the two side length of the triangle must be greater than third side."

It should fulfill all three conditions;

So we will find the same.

Condition 1:

First Side + Second Side > Third side

[tex]7.7+4.0>1.7\\\\11.7>1.7[/tex]

Hence This condition is true.

Condition 2:

Second side + Third Side > First side

[tex]4.0+1.7>7.7\\\\5.7>7.7[/tex]

Hence This condition is False.

Condition 3:

First side + Third Side > Second side

[tex]7.7+1.7>4.0\\\\9.4>4.0[/tex]

Hence This condition is true.

Since One of the condition is false hence With given side lengths a triangle could not be created.

Answer: It was no

Step-by-step explanation: Khan

ACCESS MORE