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10 November, 11:43

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?

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  1. 10 November, 15:01
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    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.
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