Question

To creatively paint his room, Jonas wants to paint an outline of a triangle in silver paint using the edges of his bedroom wall that is 9 feet high and 12 feet long. What is the total length of the silver lines that make up the triangle?

Pleaseee help! This is due 11:59

Answer 1

9514 1404 393

Answer:

36

Explanation:

We assume the triangle is similar to the one shown in the attachment. It is a 3-4-5 right triangle, scaled up by a factor of 3. Its perimeter is ...

9 + 12 + 15 = 36

The total length of silver lines that make up the triangle is 36 feet.

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Additional comment

(3, 4, 5) is a "Pythagorean triple" because 3² + 4² = 5². It is the smallest such triple of integers, and the only one that is an arithmetic progression. It commonly appears in algebra and geometry problems, so is useful to remember. Here, it is scaled by a factor of 3 to give (9, 12, 15).