Question

Just a few questions pls!!!!!!

Which of the following possibilities will form a triangle?
Side = 13 cm, side = 6 cm, side = 6 cm Side = 13 cm, side = 5 cm, side = 8 cm Side = 14 cm, side = 7 cm, side = 6 cm Side = 14 cm, side = 6 cm, side = 9 cm

Wendy described four triangles as shown below:
Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D

Victor wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 85°." Which statement is true?

Victor is correct, because only one unique triangle can be drawn with the given information.
Victor is incorrect, because more than one triangle can be drawn with the given information.
Victor is incorrect, because the triangle described cannot be drawn with the given information.
None of the above.

Answer 1

Explanation:

first : Side = 13 cm, side = 6 cm, side =6

second : Side = 13 cm and 5 and 8

third: Side = 14 cm, side = 7 cm and 6

forth : 14 cm, side = 6 cm, side = 9 cm

to form a triangle the theory is: a+b>c and b+c>a and a+c>b

first one : a=13 b=6 and c=6 ( not a triangle)

second: a=13 b=5 and c=8 ( not a triangle)

third : a=14,b=7,c=6 (not a triangle)

forth : a=14,b=6,c=9 ( a triangle 14+6>9,6+9>14, and 9+14>6)

Wendy description :Triangle A: All sides have length 9 cm.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°

Triangle C: Two angles measure 50°.

Triangle D: Base has length 8 cm, and base angles measure 45°

triangle A is equilateral triangle all sides are equal it is a special triangle because it has three sides and angles equal.

Triangle C: is not unique because you can not specify triangles by given angles only

Victor is incorrect, because more than one triangle can be drawn with the given information because only two sides are given and the third con be different.

Answer 2

First question: last option

The triangle inequality states that the sum of he two shortest sides of a triangle must be greater than the longest side, therefore the answer is 14, 6, and 9 because 6 + 9 > 14 is a true statement.

Second question: I'm not sure, sorry

Third question: second option

He never specified if 85° was the base angle or not so he could draw 2 triangles: one with 85° as the base angles and one with 85° as the other angle.