Question

Becky is creating a stained glass windowpane that will be 5.6 inches by 5.9 inches. To make the rectangular windowpane, Becky fuses together two triangles of colored glass. What is the perimeter of one triangle? If necessary, round to the nearest tenth.

Answer 1

To find the perimeter of one triangle, divide the rectangular windowpane into two congruent right triangles. Use the Pythagorean theorem to find the length of the hypotenuse, which is also the longest side of the triangle. Finally, calculate the perimeter by summing the lengths of all three sides.

Step-by-step explanation:

To find the perimeter of one triangle, we need to determine the lengths of its sides. Since the windowpane is rectangular, we can divide it into two congruent right triangles by drawing a diagonal from one corner to the opposite corner. Using the Pythagorean theorem, we can find the length of the hypotenuse, which is also the longest side of the triangle. The perimeter of the triangle is then the sum of the lengths of all three sides.

Let's find the length of the hypotenuse using the given dimensions of the windowpane:

Length of the hypotenuse (h) = √((5.6)^2 + (5.9)^2)

Now, we can calculate the perimeter of the triangle:

Perimeter = sum of the lengths of the three sides = 5.6 + 5.9 + h

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