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What is the area of △PQR.

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 

 

Thank You So Much In Advance!!! 

 Mar 27, 2018
 #1
avatar+7352 
+2

Let  QR  be the base of the triangle.

Let's draw a height from  QR  to  P .

 

 

Now we have a right triangle.

 

sin( angle )  =  opposite / hypotenuse

 

sin 20°  =  h / 9

                            Multiply both sides of the equation by  9 .

9 sin 20°  =  h

 

h  =  9 sin 20°

 

Now we know the base and the height, so we can find the area.

 

area  =  (1/2)(base)(height)

 

area  =  (1/2)(14)(9 sin 20°)   square cm

 

area  =  63 sin 20°   square cm

 

area  ≈  21.5   square cm

 Mar 27, 2018

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