Question

Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan? Joo-Eun cannot draw a triangle with these side lengths. Joo-Eun can only draw one unique triangle with these side lengths. Joo-Eun can draw exactly two triangles with these side lengths. Joo-Eun can draw more than one triangle with these side lengths.

Answer 1

A triangle with given measurement can only be drawn as one unique triangle and the angles would be unique for the particular triangle. 

Hence, the correct answer is
Joo-Eun can only draw one unique triangle with these side lengths

Answer 2

Answer:

Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.

Step-by-step explanation:

Measures of sides of triangles are 6 mm , 8 mm and 11 mm

We use a result which states that if sum of two sides of a triangle is greater than 3rd side then triangle with those measures exist.

here,

6 + 8 = 14 > 11

6 + 11 = 17 > 8

8 + 11 = 19 > 6

Therefore, triangle With given measures exist.

Now we use another result which says that a triangle with given measurement can only be drawn as one unique triangle and the angles would be unique for the particular triangle. 

Therefore, Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.