Answer:
Step-by-step explanation:
The total area of the triangle is the area of the two smaller triangles added together.
We will use the equation of the area of the triangle as
- where b is the length of the base of the triangle, and h is the height of the triangle.
First, we can use the Pythagorean Theorem to find the base of the right hand side triangle.
The theorem states that:
- where c is the length of the hypotenuse, and a & b are the other side lengths.
Now we can substitute in our values to determine the area of the right hand side triangle.
As the two triangles have a shared base, we can now subtract our one base length to get the other base.
This gives us the base of our left hand side triangle as:
Now we can substitute this into our area equation, for the left hand side:
Now we add our two separate areas to get the overall area: