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3 years ago

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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Step-by-step explanation:

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4 years ago

Does someone know what the answer is? Help, please!

bazaltina [42]

Answer:

if I'm not wrong it should be A

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3 years ago

"Ten subtracted from the quotient of a number<br> and 5 is 18."

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Answer: n/5 - 10 = 18: this would be the equation. Your answer would be 140.

Step-by-step explanation: Let consider the number as ‘X’

Quotient of a number and 5 can be written as

X divided by 5

Ten subtracted from the quotient of a number and 5 can be written as

(X divided by 5)-10

Ten subtracted from the quotient of a number and 5 is 18 can be written as

(X divided by 5)-10=18

By solving the above equation, find ‘X’

(X divided by 5) = 18 + 10

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