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Two sides of scalene ABC measure 3 centimeters and 5 centimeters. What is the largest possible area of the triangle?

 Nov 14, 2020
 #1
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Two sides of scalene ABC measure 3 centimeters and 5 centimeters. What is the largest possible area of the triangle?

 

If Δ ABC is a scalene right triangle with legs of 3 and 5 then the area is 7.5 u2  

 Nov 14, 2020
 #2
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Area = 1/2 ab*sinC\\

A=7.5sinC

The biggest sinC can be is 1 which happens when C=90degrees

 

So you can answer now.

You can also tell me how long the third side will be.    laugh

 Nov 14, 2020

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