Question

34 multiple choice 2 points what is the approximate length of side c? about 7 units about 15 units about 9 units about 11.4 units

Explanation:

Step1: Determine the lengths of sides \(a\) and \(b\)

By counting the grid - squares, \(a = 7\) units and \(b= 7\) units.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 7\) and \(b = 7\) into the formula: \(c=\sqrt{7^{2}+7^{2}}=\sqrt{49 + 49}=\sqrt{98}\).

Step3: Simplify the square - root

We know that \(\sqrt{98}=\sqrt{49\times2}=7\sqrt{2}\approx7\times1.414 = 9.898\approx9\) (since we are looking for an approximate value and among the given options, \(9\) is the closest).

Answer:

about 9 units