What is the area of ΔXYZ below

Q1:What is the area of ΔXYZ below?
http://testpak.starssuite.com/files/Geo2…

Q2: What is the area of ΔMNO below?
http://testpak.starssuite.com/files/Geo2…

Q3: What is the area of ΔTUV below?
http://testpak.starssuite.com/files/Geo2…

Please help me out, thanks!

first question:

this is an equilateral triangle thus every angle is 60°.
the height to the base in an isosceles/eqilateral triangle makes a 90°
put h=x ( h means the height)

sin60° = x/3

√3/2 = x/3

x=3√3 / 2

area of a triangle is b*h/2 =>[3*(3√3 / 2 )] / 2 = 9√3 / 4

second question;

It is based exactly in the same thing as in the first question. do the same things.

equilateral triangle , height makes a 90 degree with the base.

h=x

sin60 = x/10

√3/2 = x/10

x=5√3

area of a triangle; b*h / 2 => (10*5√3) / 2 => 25√3

third question:

again the same thing: h=x

sin60 = x/7

√3/2 = x/7

x= 7√3 / 2

area of a triangle is b*h / 2 => 7(7√3 / 2 ) / 2 => 49√3 / 4