Question

Special Right Triangles!
Pleaseeee helppp!

Answer 1

Refer to the attached images.

Explanation:

A special right triangle is a right triangle that has some unique properties regarding its side lengths and angles. There are two common types of special right triangles: the 45-45-90 triangle and the 30-60-90 triangle. Simple formulas exist for special right triangles that make them easier to do some calculations.

To find all the side lengths of a special right triangle:

1. Identify the type of special right triangle (e.g., 45-45-90 or 30-60-90).
2. If you know the length of one side, use the corresponding ratio to find the other side lengths.
3. If you know the length of the hypotenuse, apply the appropriate ratio to determine the lengths of the other sides.
4. Use the formulas specific to each type of special right triangle to calculate the side lengths based on the given information.
5. Verify the results by checking if the side length ratios hold true for the specific type of special right triangle.
6. Remember that in a 45-45-90 triangle, the side lengths are typically x, x, x√2 (where x is the length of one of the legs), while in a 30-60-90 triangle, the side lengths follow the ratios x, x√3, 2x (where x is the length of the shorter leg).

As you can see in the images, I like to use a table.
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Refer to the attached images.