5760 Area of a Triangle Find the area of the triangle with t

57-60 Area of a Triangle Find the area of the triangle with the given description. 57, A triangle with sides of length 7 and 9 and included angle 72

Ans 57

Given data

a = 7

b = 9

C = 72°

Area of triangle =( a x b sin C)/2

Area = (7 x 9 x sin 72) /2 = (63 x 0.951)/2

= 29.958

Ans 61

Area of triangle =( a x b sin C)/2

16 = (5 x 7 x Sin C) /2

32 = 35 x Sin C

0.914 = Sin C

C = 66°