Question

find the length of side c, to the nearest tenth. select one: a. 3.2 b. 7.2 c. 8.6 d. 4.5

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 4\) and \(b = 6\) and hypotenuse \(c\), the Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\).
So \(c=\sqrt{4^{2}+6^{2}}\).

Step2: Calculate squares

\(4^{2}=16\) and \(6^{2}=36\), then \(a^{2}+b^{2}=16 + 36=52\). So \(c=\sqrt{52}\).

Step3: Find square - root and round

\(\sqrt{52}\approx7.2111\). Rounding to the nearest tenth gives \(c\approx7.2\).

Answer:

b. 7.2