Look at the following rectangle:
ΔEAG≅ΔFCH
Find the perimeter of rectangle EFCD.
Look at the following rectangle:
ΔEAG≅ΔFCH
Find the perimeter of rectangle EFCD.
Since the triangles are equal to each other, we can claim that:
Now let's calculate side AB:
Since in a rectangle each pair of opposite sides are equal to each other:
We can also claim that:
Side EF is also equal in length to sides AB and CD which are equal to 13
Now let's calculate side FC using the Pythagorean theorem in triangle FCH:
Let's input the known data:
Let's take the square root:
Now we can calculate the perimeter of rectangle EFCD by adding all sides together: