Question

sandra is creating a stained glass windowpane that will be 7.9 inches by 5.6 inches. to make the rectangular windowpane, sandra fuses together two triangles of colored glass. what is the perimeter of one triangle? if necessary, round to the nearest tenth. inches

Explanation:

Step1: Find the hypotenuse of the triangle

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 5.6\) and \(b=7.9\).

$$c=\sqrt{5.6^{2}+7.9^{2}}=\sqrt{31.36 + 62.41}=\sqrt{93.77}\approx9.7$$

Step2: Calculate the perimeter of the triangle

The perimeter \(P\) of a triangle with sides \(a\), \(b\), and \(c\) is \(P=a + b + c\).

$$P=5.6+7.9 + 9.7=23.2$$

Answer:

\(23.2\)