Answer:
The answer to your question is 10 units
Step-by-step explanation:
Data
A (-3, -1)
B (-3 , 5)
length of a side = 8 units
Process
1.- Calculate the distance between A and B
dAB = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
x1 = -3 y1 = -1
x2 = -3 y2 = 5
-Substitution
dAB = [tex]\sqrt{(-3 + 3)^{2}+ (5 + 1)^{2}}[/tex]
dAB = [tex]\sqrt{0^{2} + 6^{2}}[/tex]
dAB = [tex]\sqrt{36}[/tex]
dAB = 6 u
2.- Calculate the diagonal using the Pythagorean theorem.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = 10 units
- Conclusion
The diagonal of the rectangle measures 10 units
