Exercise 54 Page 581

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.

A=1/2bh

SubstituteII

b= 10, h= 10

A=1/2( 10)( 10)

Multiply

Multiply

A=1/2(100)

MoveRightFacToNum

a/c* b = a* b/c

A=100/2

CalcQuot

Calculate quotient

A=50

The area of this triangle is 50 square units. This corresponds with answer D.