Question

find the area of the triangle def. area = square units

Explanation:

Step1: Find the base and height

Assume the base \( b \) and height \( h \).
The base can be calculated as the distance between \( D(-8,8) \) and \( F(-8,-7) \). Using the distance formula for vertical points (since \( x - \)coordinates are the same), \( b=\vert8 - (-7)\vert=15 \).
The height is the horizontal distance from the line \( DF \) (where \( x=-8 \)) to the point \( E(8,-2) \). So \( h=\vert8-(-8)\vert = 16 \).

Step2: Use the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times b\times h \).
Substitute \( b = 15 \) and \( h = 16 \) into the formula: \( A=\frac{1}{2}\times15\times16 \).
Calculate \( \frac{1}{2}\times15\times16=120 \).

Answer:

\( 120 \)