3. (05.02 LC)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

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 < 10.10+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 < 10.10+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=10.10+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 > 10.10+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.

Explanation:

san po makatulong:-)

answering so the boy above me can get extra points for

Explanation:

haile selassie i was the emperor of ethiopia from 1930-1974