Question

12. The traffic warning sign below has a triangle shape with base of 18 inches,

Answer 1

Answer:

C.

Step-by-step explanation:

The area of the triangle is

$\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}$

You know that

Area - irrational number

$\dfrac{1}{2}$ - 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

$\text{Area}=\dfrac{1}{2}\cdot 18\cdot \text{Height}\\ \\\text{Area}=9\cdot \text{Height}$

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