Q16 of 59 Page 162

The perimeter of a triangle is 15x2 – 23x + 9 and two of its sides are 5x2 + 8x – 1 and 6x2 – 9x + 4. Find the third side.

Perimeter = 15x2 – 23x + 9


First side = 5x2 + 8x – 1


Second side = 6x2 – 9x + 4


Sum of first two side = 11x2-x + 3


Third side = (Perimeter- Sum of first two side)


⇒ Third side = 4x2-22x + 6


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(i) (x + 2z)(2x + z);


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The base and the altitude of a triangle are (3x – 4y) and (6x + 5y) respectively. Find its area.