This week’s practice problem is a Multiple Answer Question, one of the new questions formats for the revised exam: remember, you can choose more than one answer!

If x > 0, and two sides of a certain triangle have lengths and respectively, which of the following could be the length of the third side of the triangle?

Indicate all possible lengths.

Good luck, the answer will be posted tomorrow! ðŸ™‚

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We know any side of a triangle c relates to other two sides a and b as : |(a-b)| < c < |(a+b)|

In this case: 2x + 4 < c 0

A. 4x + 5 : exceeds 4x + 4
B. x + 2 : less than 2x + 4 or 2(x+2)
C. 6x + 1: satisfies (can be checked by putting x =1, 2 )
D. 5x + 6: exceeds
E. 2x + 17: exceeds

Addition of the two sides is 4x+4. So the length of third side must be less than 4x+4. 4x+5 and 5x+6 must be greater than 4x+4 for any value of x>0.
So the possible answers are

B.
C (for very small value of x)
E (for very big value of x)

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ans is a and b

sorry i regret for my answers.i answered in hasty manner.

We know any side of a triangle c relates to other two sides a and b as : |(a-b)| < c < |(a+b)|

In this case: 2x + 4 < c 0

A. 4x + 5 : exceeds 4x + 4

B. x + 2 : less than 2x + 4 or 2(x+2)

C. 6x + 1: satisfies (can be checked by putting x =1, 2 )

D. 5x + 6: exceeds

E. 2x + 17: exceeds

Ans. C

Addition of the two sides is 4x+4. So the length of third side must be less than 4x+4. 4x+5 and 5x+6 must be greater than 4x+4 for any value of x>0.

So the possible answers are

B.

C (for very small value of x)

E (for very big value of x)