A triangle has a side length of 3/4 inch and a side length of 3 inches. What could be the length, in inches, of the third side?

To solve this problem you must apply the proccedure shown below:

1 - If the triangle is a rigth triangle, you must apply the Pythagorean Theorem. Taking the length 3 inches as the hypotenuse, which is the longest side of the triangle, you have:

a^2=b^2+c^2

c=√ (a^2-b^2)

b=3/4 inches

a=3 inches

2 - When you susbtitute the values, you obtain:

c=√ (3 inches) ^2 - (3/4 inches) ^2

c=2.90 inches

The answer is: 2.90 inches.