Maligayang pagdating sa IDNStudy.com, ang iyong platform para sa lahat ng iyong katanungan! Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

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.