SOLUTION: Hello my Question is: In a 30-60-90 triangle if the shorter leg has length P then what is the length of the longer leg and what would length of the hypotenuse be. Please help me

Algebra ->  Triangles -> SOLUTION: Hello my Question is: In a 30-60-90 triangle if the shorter leg has length P then what is the length of the longer leg and what would length of the hypotenuse be. Please help me       Log On


   

Question 594389: Hello my Question is: In a 30-60-90 triangle if the shorter leg has length P then what is the length of the longer leg and what would length of the hypotenuse be.
Please help me :( I really dont understand this.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
picture an equilateral triangle (60-60-60)

a perpendicular bisector of the base divides the equilateral into two 30-60-90 triangles

if the shorter side (half the base) is P, then the hypotenuse (one of the other equilateral sides) is 2P

using Pythagoras to find the longer leg ___ P^2 + x^2 = (2P)^2 ___ x^2 = 3P^2 ___ x = P√3