3) Solve the triangle given that a = 15, b = 17, c = 13.
1 answer:
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Answer: 33 ft².
Step-by-step explanation:
1. As you can see in the figure attached, the trapezoid is formed by a rectangle and two equal right triangles. The base of each triangle is 4 feet and you know the lenght of the hypotenuse AD, therefore, you can calculate the height by applying the Pythagorean Theorem:
2. Now, you can calculate the area with the following formula:
Where <em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then:
