Which of the following possibilities will form a triangle? a. side = 15 cm, side = 7 cm, side = 7 cm b. side = 15 cm, side = 7 cm, side = 9 cm c. side = 14 cm, side = 6 cm, side = 7 cm d. side = 14 cm, side = 6 cm, side = 8 cm

We have this property of triangle:

sum of two sides > third side

Let us check for all options.

A.

7+7 >15

14>15

False

So option A is not correct.

B. 15, 7 , 9

15+7>9

22>9, true

7+9>15

16>15, true

15+9>7

24>7, true

So option B is correct.

C. 14, 6 ,7

14+6>7

20>7 , true

6+7>14

13>14, false

so option C is incorrect

D. 14, 6, 8

8+6 >14

14>14, false

So option D is incorrect.

B. Side = 15 cm, side = 7 cm, side = 9 cm

I took the test too! and got it right, so for sure you will get it right too.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc