Answer:
C.
Step-by-step explanation:
The area of the triangle is
[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}[/tex]
You know that
Area - irrational number
[tex]\dfrac{1}{2}[/tex] - rational number (rational numbers are those that can be written as a fraction)
Base = 18 inches - rational number (actually, 18 is a natural number and each natural number is rational)
Height - unknown
You can rewrite previous formula as
[tex]\text{Area}=\dfrac{1}{2}\cdot 18\cdot \text{Height}\\ \\\text{Area}=9\cdot \text{Height}[/tex]
Now consider all options:
A. If height is a whole number then area is a whole number as a product of two whole numbers. False
B. If height is a rational number, then area is rational number as a product of two rational numbers. False
C. If height is a irrational number, then area is irrational number as a product of rational and irrational numbers. True
D. If height is a non-real complex number, then area is non-real complex number as a product of rational and non-real complex numbers. False
