In each one of Exercises 2326 you are asked to find the area
In each one of Exercises 23-26 you are asked to find the area of the triangle Delta ADC, based on the given information. (Do not solve the triangle!)
Solution
23) A= 35 deg . b= 13cm C=45 deg
B = 180-35-45 = 100 deg
Applying sine rule:
a/sinA = b/sinB
a/sin83 = b/sin100
15/sin83 = b/sin100
b = 14.883 cm
Again: c/sinC = a/sinA
c = sin45*15/sin35 = 18.492
24 .) A= 44 deg B= 55deg C= 10 cm
Angle C = 180-44-55 = 100 deg
Applying sine rule:
c/sinC = a/sinA
a= (c/sinC)*sinA = (10/sin100)sin44 = 7.036 cm
Again : b = sinB(c/sinC) = sin55*(10/sin100) =8.317 cm
