Which of the following side lengths can form a triangle? a. 17 ft, 41 ft, and 60 ft b. 6 mm, 23 mm, and 88 mm c. 67 cm, 55 cm, and 121 cm d. 64 in, 65 in and 129 in

Your answer is C. 67 cm, 55 cm, and 121 cm

The rule for sides of a triangle is that any side is less than the sum of the two other sides, and greater than the difference of the two other sides. This means we can check each option and see where this applies:

A. Less than the sum of the other two sides: 17 < 41 + 60 = 101 , correct

Greater than the difference: 17 > 60 - 41 = 19 , not correct

So it's not option A.

B. Less than the sum: 6 < 88 + 23 = 111 , correct

Greater than the difference: 6 > 88 - 23 = 65 , not correct

And it's not option B.

C. Less than the sum: 67 < 55 + 121 = 176 , correct

Greater than the difference: 67 > 121 - 55 = 66 , correct

So option C fills both rules and is therefore the answer.

I hope this helps!

The sum of the lengths of any two sides of a triangle must be greater than to the length of the third side.

A.

17 + 41 = 58 < 60 NOT

B.

6 + 23 = 29 < 88 NOT

C.

67 + 55 = 123 > 121

67 + 123 = 190 > 55

55 + 123 = 178 > 67

CORRECT

D.

64 + 65 = 129 NOT

C. 67 cm, 55 cm, and 121 cm

lol

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.