SOLUTION: **1. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the hypotenuse? Answer choices; a) 11 b) 22 c) 11 square root of 2 ***2. If the short s

Algebra ->  Triangles -> SOLUTION: **1. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the hypotenuse? Answer choices; a) 11 b) 22 c) 11 square root of 2 ***2. If the short s      Log On


   



Question 978669: **1. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the hypotenuse?
Answer choices;
a) 11
b) 22
c) 11 square root of 2
***2. If the short side of a 30-60-90 triangle is equal to 11, what is the length of the long leg?
a) 11
b) 22
c) 11 square root of 3
Thank you in advance!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

remember the ratio
hypotenuse+%3A+long_+leg+%3A+short_+leg+=+2+%3A+sqrt%283%29+%3A+1
or
hypotenuse+%2F+2+=+long_+leg+%2F+sqrt%283%29+=+short+_leg+%2F+1
also
long+_leg+=+%28sqrt%283%29%2A+hypotenuse%29+%2F+2
and
short+_leg+=+hypotenuse+%2F+2

1. If the short side 11, the length of the hypotenuse will be
short+_leg+=+hypotenuse+%2F+2
2%2Ashort+_leg+=+hypotenuse+
2%2A11+=+hypotenuse+
22+=+hypotenuse+
so, answer choices is:
b) 22

2. If the short side of a 30-60-90 triangle is equal to 11, the length of the long leg will be
long+_leg+=+%28sqrt%283%29%2A+22%29+%2F+2
long+_leg+=+sqrt%283%29%2A+11+
long+_leg+=+11sqrt%283%29+
so, answer is:
c) 11sqrt%283%29