Which of the following sets of numbers could be the lengths of the sides of a triangle?

Mathematics

2 answers:

kicyunya [14]3 years ago

8 0

Answer is C. 8, 3, 6

To answer this, you must know the Triangle Inequality Theorem.

The two shortest sides when added together, must be greater than the longest side.

A. 2 + 4= 6 which can't work since it equals the longest side of 6

B. 4 +2=6 The sum would be less than 8, which doesn't work

C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle

D. 3 +8 = 11 11 is less than 12

Amanda [17]3 years ago

5 0

I believe the answer is answer is C

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Step-by-step explanation:

First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.