4. Parallel Lines and Proportional Parts
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Recall the formula for the area of a triangle.
D
Let's begin with recalling the area of a triangle.
A=1/2bh
In this formula b is the base and h is the height of a triangle. Now, let's plot the given points and connect them with the segments.
As we can see, the base has a length of 10 units and the height of this triangle is also 10.
Now we will substitute these values into the area formula.
b= 10, h= 10
Multiply
a/c* b = a* b/c
Calculate quotient
The area of this triangle is 50 square units. This corresponds with answer D.