Which dimensions can create only one unique triangle? a. three angles measuring 75,45,and 50 b. three sides measuring 14 m,11 m, and 18 m c. three angles measuring 40,50 and 60 d. three sides measuring 3 cm,4 cm, and 8 cm

B.Three sides measuring 14 m,11 m,and 18 m

Step-by-step explanation:

Let's check all the option.

A. Three angles measuring 75,45,and 50

We know that the sum of all angles of a triangle is 180°.

But Therefore triangle is not possible with this dimensions of angles.

B. Three sides measuring 14 m,11 m,and 18 m

Here ,

⇒ It satisfies the triangle inequality.

∴ There is one unique triangle of dimensions 14 m,11 m,and 18 m

.

C.Three angles measuring 40,50 and 60.

.

But Therefore triangle is not possible with this dimensions of angles.

D.Three sides measuring 3 cm,4 cm,and 8 cm

Here ,

Hence, it does not satisfies the triangle inequality.

8/k

step-by-step explanation:

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.