Question

a rectangle has a diagonal 20 inches long that forms angles of 60 and 30 with the sides. find the perimeter of the rectangle.

Answer 1

P = 47.32

Explanation:

This triangle is a special triangle. Because it is 30-60-90 it will have measurements similar to
`1 - √(3) - 2`. If the longest side is 20 then it corresponds to 2. This means the shortest side of 1 corresponds to half this or 10.

So the triangle will have sides
`10 - 10√(3)  - 20`.

To find the perimeter add all these lengths.

`P = 10 + 10√(3) +20\\P = 30+10√(3) \\ P = 47.32`