SOLUTION: a triangle PQR is such that line PQ is equal to line PR. Given that angle PQR is 40 degrees find the length of PR if the area of the triangle is 240 centimeters squared.

Question 987308: a triangle PQR is such that line PQ is equal to line PR.
Given that angle PQR is 40 degrees find the length of PR if the area of the triangle is 240 centimeters squared.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
If the size of PQ and PR = x
Area = 1/2 q*r*sin(40)
240 = 1/2 x * x * sin(40)
240 = 1/2 x^2 sin(40)
Multiply both sides by 2
480 = x^2sin(40)
Divide both sides by sin(40)
480/sin(40) = x^2
x = √480/sin(40)
x = 27.3cm
PR = PQ = 27.3cm
Hope this helps :-)

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