How do you find the long leg of a 30 60 90 right triangle?

Answer 1

First you're going to need to know some more information. Let's say the short leg of the triangle is 4 inches.

To find the long leg you would use the formula:

short leg * the square root of 3= long leg

therefore the long leg would equal 4*the square root of 3 inches

If you want to find the length of the hypotenuse(longest side of the triangle, or the diagonal) you would multiply the short leg by 2

short leg*2=hypotenuse

therefore the hypotenuse is 8 inches

so the side lengths would be:

short leg: 4 in, long leg: 4*squrt of 3 in, and hypotenuse: 8 in