IDNStudy.com, ang iyong destinasyon para sa mabilis at kaugnay na mga sagot. Hanapin ang mga solusyong kailangan mo nang mabilis at tiyak sa tulong ng aming mga bihasang miyembro.

How to get the perimeter of a special triangle using 30° -60° -90°
special triangle if the given measurement of altitude is 5. ?? help
please?


Sagot :

we let shorter leg be a. By special property of 30-60-90 triangle, hypotenuse=2a, then longer leg=sqrt3*a. Thus area is sqrt3 / 2 * a^2. Equal to altitude times base over two. 

Hence altitude times base is a^2 * sqrt 3. base is 2a, so altitude is a * sqrt3 /2=5 --> a=10/(sqrt3). perimeter is 10/(sqrt3)+20/(sqrt3)+10=10sqrt3+10.