Step-by-step explanation:
Given : If the hypotenuse of a 30-60-90 triangle has length 15 then the shorter leg has length 5.5 , 6.5 , 7.5.
To find : What is the length of the other leg and hypotenuse ?
Solution :
For a 30-60-90 triangle, sides are in the ratio [tex]1:\sqrt{3}:2[/tex]
where, 1 is the shorter side,
[tex]\sqrt{3}[/tex] the other side
and 2 the hypotenuse.
Short leg = 5.5
Other leg = [tex]5.5\times \sqrt3=5.5\sqrt3[/tex]
Hypotenuse = [tex]5.5\times 2=11[/tex]
Short leg = 6.5
Other leg = [tex]6.5\times \sqrt3=6.5\sqrt3[/tex]
Hypotenuse = [tex]6.5\times 2=13[/tex]
Short leg = 7.5
Other leg = [tex]7.5\times \sqrt3=7.5\sqrt3[/tex]
Hypotenuse = [tex]7.5\times 2=15[/tex]
