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The lengths of two sides of a triangle are 10 inches and 4 inches. Which of the following dimensions is the third side of this triangle? (5 points)



4 inches


5 inches


6 inches


7 inches

please answer ill fan and medal

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jhonyy9

the third side of a triangle not can being greater than the sum of the length of the other two sides 
- The sum of the lengths of any two sides of a triangle must be greater than the third side.

so than given 10 in and 4 in so the sum is equal 14 in from what result that the 3rd side not can being longer than 14 in 
so from given choices may be right just 7 inches bc. than we calcule it for choice of 6 inches so than we get 6+4=10 and the longer side is by 10 inches so than these are equales what not is right bc. need being longer than the sum of the shorter sides so from this result that just 7 inches is right 

hope this will help you

Answer:  The correct option is (D) 7 inches.

Step-by-step explanation:  Given that the lengths of two sides of a triangle are 10 inches and 4 inches.

We are to select the correct dimension that the third side of the triangle may be.

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

If the third dimension is 4 inches, then we have

\(10+4>4,~~4+10>4,~~4+4<10.\)

So, this option is not correct.

If the third dimension is 5 inches, then we have

\(10+4>5,~~5+10>4,~~5+4<10.\)

So, this option is not correct.

If the third dimension is 6 inches, then we have

\(10+4>6,~~6+10>4,~~6+4=10.\)

So, this option is not correct.

If the third dimension is 7 inches, then we have

\(10+4>7,~~7+10>4,~~7+4>10.\)

So, this option is correct, because the sum of the lengths of any two sides is greater than the length of the third side.

Thus, the correct option is (D) 7 inches.

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