Answer:
30 cm²
Step-by-step explanation:
Step 1: Find the value of xy using the formula for area of triangle with 2 sides and an angle between
Area = ½*x*y*sinB
Area of ∆ABC = 30 cm²
sin B = sin 70 = 0.9397
Thus,
30 = ½*x*y*0.9397
30 = (x*y*0.9397)/2
Multiply both sides by 2
60 = xy*0.9397
Divide both sides by 0.9397
60/0.9397 = xy
xy = 63.85
Step 2: calculate the area of ∆PQR with the same formula used in step 1, and also, using the value of the product of x and y gotten in step 1
Area of ∆PQR = ½*x*y*sinQ
x*y = xy = 63.85
sin Q = sin 110 = 0.9397
Area = ½*63.85*0.9397
Area of ∆PQR ≈ 30 cm²
