you are asked to draw a triangle with side lenghts of 6inches and 8inches . what is the longest whole number length that your third side can be

8-6 < x < 8+6

Did you know?

When asked to draw a triangle with side lengths of 6 inches and 8 inches, the longest whole number length the third side can be is 13 inches. This is because of the infamous Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the triangle's longest side) is equal to the sum of the squares of the other two sides. In this case, with side lengths of 6 inches and 8 inches, squaring these values yields 36 and 64 respectively. Adding these results, 36 + 64 = 100. So, by taking the square root of 100, we find that the longest whole number length for the third side is 10 (since the square root of 100 is 10). However, the Pythagorean theorem only applies to right triangles, and if the given triangle is not a right triangle, then other rules or methods must be used to determine the third side's length.