(base area)*h
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It would be c because when you multiply each number by r you can see the number
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°
find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°
find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9
the answer Part 1)
the dimensions of the triangle N 1
are
a=12 A=56°
b=14 B=75.3°
c=10.9 C=48.7°
case 2)
A=56°
a=12
b=14
B=180-75.3----> B=104.7°
find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°
find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8
the answer Part 2)
the dimensions of the triangle N 2
are
a=12 A=56°
b=14 B=104.7°
c=4.8 C=19.3°
Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using

where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation

Step two
find the area of the semicircle
the area of a circle is given by

but, we need the area of half circle, we need divide this by 2

now the diameter of the semicircle is 2, put this value into the equation

find the total area
total area= area of the trapezoid +area of the semicircle

so, the total area is 15.6 square units
Have a good day.