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
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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) (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
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