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omeli [17]
3 years ago
13

Which dimensions can create only one unique triangle?

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

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 75+45+50=170 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 ,

14+11=25>18\\18+14=32>11\\11+18=29>14

⇒<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 40+50+60=150 Therefore triangle is not possible with this dimensions of angles.

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

Here , 3+4=7

Hence, it does not satisfies the triangle inequality.

daser333 [38]3 years ago
5 0

The correct answer is B.

Good luck!!!

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First solve for the other angles.
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