SOLUTION: The sides of the triangle are 6,7,and x. What is the largest value that could be the area of such a triangle?

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Question 36379: The sides of the triangle are 6,7,and x. What is the largest value that could be the area of such a triangle?
Answer by venugopalramana(3286) About Me  (Show Source):
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The sides of the triangle are 6,7,and x. What is the largest value that could be the area of such a triangle?
HOPE YOU KNOW ELEMENTARY TRIGNOMMETRY.THEN IT IS VERY EASY.OTHERWISE ,PLEASE INFORM AND I SHALL SHOW YOUB ANOTHER METHOD
AREA OF TRIANGLE =(1/2)*BASE*ALTITUDE=0.5*b*h=0.5*b*c*SIN(A)=0.5*6*7*SIN(A)
=21SIN(A).....WE KNOW THAT MAXIMUM VALUE OF SIN(A)=1 WHEN A=90 DEGREES
HENCE MAXIMUM AREA =21*1=21 WHEN IT IS RIGHT ANGLED TRIANGLE WITH LEGS EQUAL TO 6 AND 7.