A right triangle has a perimeter of 12 and sides x, (x + 1), and (x + 2). What is the area of the triangle?

2 Answers
Feb 2, 2016

This is not a right triangle:

Use pythagoras theorem:

a^2+b^2=c^2

a=adjacent,b=opposite,c=hypotenuse

The hypotenuse is the longest.

In this triangle the longest side is x+2

So,The the product of the other two sides must equal the hypotenuse.

rarrx(x+1)=x+2

rarrx^2+x!=x+2

So,This is not a right triangle.

Feb 2, 2016

Area = 6units^2

Explanation:

The perimeter of the triangle is 12 units, so the three sides add up to 12. Therefore x + (x + 1) + (x + 2) = 12
This simplifies to 3x + 3 = 12
which is then 3x = 9 so x = 3

The formula for the area of a triangle is 1/2(base x height), which in this case is 1/2 (3 x 4) = 6