# If sides A and B of a triangle have lengths of 8 and 5 respectively, and the angle between them is #(pi)/3#, then what is the area of the triangle?

##### 2 Answers

Jan 22, 2016

#### Explanation:

Use the formula

In this case side

Jan 22, 2016

# 10sqrt3 #

#### Explanation:

In a triangle with 2 known sides , say a , and b , and the angle between them is

#theta # then area (A) =

# 1/2 ab sintheta # In this question a = 8 , b = 5 and

# theta = pi/3 #

# rArr A = 1/2 xx 8 xx 5 xx sin(pi/3) = 20 xx sqrt3/2 = 10sqrt3 #