Calculato Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply I 3 cm, 4 cm, 5 cm I 4 cm, 10 cm, 14 cm 5 cm, 11 cm, 15 cm 6 cm, 6 cm, 13 cm 7 cm, 4 cm, 12 cm 8 cm, 10 cm, 17 cm​

3,4,5

5,11, 15

8,10,17

Step-by-step explanation:

If the sum of two sides is greater than the third side it will form a triangle.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k