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John wants to make a triangular garden. Which of the following are possible dimensions?
 A  6 ft by 8 ft by 10
B  ft4 ft by 5 ft by 10
C  ft8 ft by 12 ft by 20
 D ft6 ft by 6 ft by 12 ft

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edrush1957G
The answer is B because you can automatically mark out C and D because the first two dimensions can't equal to the last one and A is out because 6 and 8 is greater than 10 so that answer wouldn't be correct either.

Hope this helps :)

The possible dimension for John's triangular garden is 6 feet × 8 feet × 10 feet.

What is triangle inequality theorem?

The triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side.

According to the given question.

We have some dimensions

6feet × 8 feet × 10 feet

4 feet × 5 feet × 10 feet

8 feet × 12 feet × 20 feet

6 feet × 6 feet × 12 feet

Now, if we take

First dimension

6 feet × 8 feet × 10 feet

Since, 6+8 >10  

Similarly if we take any two sides, we always get sum of the two sides are greater than the third one.

Therefore, by the triangle inequality theorem,6feet × 8 feet × 10 feet this can be the dimension of a triangle.

Second dimension

4 feet × 5 feet × 10 feet

Since, 4 + 5 < 10.

So, according to the triangle inequality theorem, 4 feet × 5 feet × 10 feet this will never be the dimension of any triangle. Because the sum of the two sides is less than the third side.

Third dimensions

8 feet × 12 feet × 20 feet

Since, 8 + 12 = 16<20.

So, according to the triangle inequality theorem, 8feet × 12 feet × 20 feet this will never be the dimension of any triangle. Because, sum of the two sides ( 8 + 12 ) is less than the third side.

Fourth dimension

6 feet × 6 feet × 12 feet

Since, 6 + 6 = 12 but not greater than 12.

Again by the triangle inequality theorem, 6 feet × 6 feet × 12 feet will never be the dimension of any triangle.

Hence, the possible dimension for John's triangular garden is

6 feet × 8 feet × 10 feet.

Find out more information about triangle inequality theorem here:

https://brainly.com/question/1163433

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