The Student Room Group

AS Level differentiation question

'Triangle ABC has a right angle at C. The shape of the triangle can vary but the sides BC and CA have a fixed total length of 10cm. Find the maximum area of the triangle' Could someone help me discern the correct equation to use?
Area of the triangle = 1/2 AC x BC = y
AC = 10-BC
BC = x
AC = 10 - x
y= 1/2 x (x)(10 - x)
y = 5x -(x^2/2)
Then differentiate 😊
(edited 8 years ago)
Reply 2
Thanks!

Quick Reply

Latest