Given that a triangle has side lengths of cm,
cm, and cm, find its area approximated the nearest hundredth, if needed.
Let , , and
Step 1: Establish that the triangle is a right-angled triangle.
The converse of Pythagoras' theorem states that if the square of
the length of a side is equal to the sum of the squares of the
other two sides, then the angle opposite to this side is a right
angle. For ,
Since , then
and is right-angled at
Step 2: Find the area of the triangle.
Since is right-angled at , we can use
as the triangle's base and as the