Which dimensions can create only one unique triangle?
2 answers:
Answer: 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
- For a unique triangle, the triangle inequality says that the sum of any two sides of a triangle must be greater than the third side.
Here ,
⇒<u> It satisfies the triangle inequality</u>.
∴ 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.
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