A right triangle has a perimeter of 12 and sides x, (x + 1), and (x + 2). What is the area of the triangle?
This is not a right triangle:
Use pythagoras theorem:
The hypotenuse is the longest.
In this triangle the longest side is
So,The the product of the other two sides must equal the hypotenuse.
So,This is not a right triangle.
The perimeter of the triangle is 12 units, so the three sides add up to 12. Therefore
This simplifies to
which is then
The formula for the area of a triangle is