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:
66.5
Step-by-step explanation:
38/2 = 19
114/6 = 19
19 x 3.5 = 66.5
Answer:
y=43 (alternate angle)
in triangle ADC
97+y+x=180(,sum of interior angle of triangle is 180)
x=180-97-43
x=40
Answer:
Length=15cm
Hope this answer is right!!
Step-by-step explanation:
Length be 3 cm longer than the breadth.
So, x=y+3
Perimeter = 2(x+y)54
So, x+y=27 =>x=15
x-y=3 =>x=12
So, length is 15 cm
Answer:
1320
Step-by-step explanation:
33000/25 = 1320