exam Maths Puzzle Numerical Ability

Please help.
Determine whether the following trinomial is a perfect square. If it is, factor the trinomial.
x^2 - 24x +48

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exam Other Question

6. A right triangle has perimeter 12 and sides x, (x + 1) and (x + 2). What is the area of
the triangle?
(figure not drawn to scale)
7. In the figure above, BD = DC, DE = EC, DE
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√7x + 29 = x + 3