How do you find the side lengths of a 20-70-90 triangle?

Answer 1

There are an infinite number of different sets of lengths that will do it.

You have to start by choosing the length of one side, and when you

do that, here's how to find the others:

Shorter leg = (longer leg) x 0.364

Shorter leg = (hypotenuse) x 0.342

Longer leg = (shorter leg) x 2.747

Longer leg = (hypotenuse) x 0.94

Hypotenuse = (shorter leg) / 0.342

Hypotenuse = (longer leg) / 0.94

Answer 2

Oh, dude, it's like super easy. So, in a 20-70-90 triangle, the sides are in a specific ratio: the side opposite the 20-degree angle is x, the side opposite the 70-degree angle is x√3, and the hypotenuse is 2x. Just plug in any value for x, and you've got your side lengths. Easy peasy, lemon squeezy!

Answer 3

In a 20-70-90 triangle, the side opposite the 20-degree angle is the shortest side, often denoted as the "short leg." The side opposite the 70-degree angle is the longer leg, and the hypotenuse is the side opposite the right angle. To find the side lengths, you can use trigonometric ratios. For example, if the shorter leg is 1 unit long, the longer leg would be approximately 1.85 units, and the hypotenuse would be around 2 units using trigonometric functions like sine, cosine, or tangent.

Answer 4

Oh honey, it's simple. In a 20-70-90 triangle, the side lengths are in a ratio of 1:√3:2. So if you know one side length, you can easily find the others by multiplying or dividing by those ratios. Just grab your calculator and do the math, darling.