Respuesta :
Answer:(10,-4)
12 units
108 square units
Step-by-step explanation:
The coordinate of R is (10,-4), the height of the triangle is 12 units, and the area of the triangle is 108 square units and this can be determined by using the given data.
Given :
- The coordinates of the vertices of the triangle are (–8, 8), (–8, –4).
- Consider QR the base of the triangle.
- The measure of the base is b = 18 units.
Given that the coordinates of vertices P(-8,8) and Q(-8,4). If the triangle is a right angle triangle then the coordinates of R is given by:
R(-8 + 18, -4 + 0) = R(10,-4)
So, the coordinate of the third vertice is (10,-4).
The height of the triangle PQR is given by:
h = 4 + 8
h = 12 units
Now, the area of the triangle PQR is:
[tex]\rm Area = \dfrac{1}{2}\times 18 \times 12[/tex]
[tex]= 9\times 12[/tex]
= 108 square units.
For more information, refer to the link given below:
https://brainly.com/question/11952845
