Question

1 multiple choice 5 points study the right triangle below. 5 in. 10 in. what is the length of the hypotenuse of the triangle rounded to the nearest tenth of an inch? 15.0 inches 7.5 inches 8.7 inches 11.2 inches

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 5\) and \(b=10\), and hypotenuse \(x\), the Pythagorean theorem is \(a^{2}+b^{2}=x^{2}\). So \(x^{2}=5^{2}+10^{2}\).

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Step2: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{125}\).

$$x=\sqrt{25\times5}=5\sqrt{5}\approx5\times2.236 = 11.18$$

Rounding \(11.18\) to the nearest tenth gives \(11.2\).

Answer:

11.2 inches