Find the area of the triangle If necessary round the answer

Find the area of the triangle. If necessary, round the answer to two decimal places. 15.53 14.49 3.88 7.76 1.73 3.87 16.97 7.76 53.67

Solution

Area of triangle= (1/2)ab sin C or in words we can sayt hat area of triangle is half of the product of the two sides and the sine of the angle between them

10. Area= (1/2) 3*10 sin15= 3.88

11. Here we use Heron\'s formula which is

A= sqrt(s(s-a)(s-b)(s-c))

where s is the semi perimeter which is s=(a+b+c)/2

s=(4+4+2)/2=5

Area= sqrt(5(5-4)(5-4)(5-2)) = sqrt 10 = 3.87