the area of a triangle is 75 ft^2 and two of the sides of the triangle have lengths 16 ft and 20ft. find the angle included by these two sides

Question

the area of a triangle is 75 ft^2 and two of the sides of the triangle have lengths 16 ft and 20ft. find the angle included by these two sides

Answer 1

The first step is to utilize the formula for area.

 

A=1/2*b*h Note: you could use any side as the base in determining h.

 

75=1/2*(20)*h=10h This implies h=7.5 Note also h becomes perpendicular to the other side of the triangle.

 

sinB=h/16=7.5/16

 

B=sin^-1 (7.5/16)=27.953^o