12. the traffic warning sign below has a triangle shape with base of 18 inches,
the value of the area of the triangle (half base times altitude), in square inches, is
an irrational number. the number that represents the altitude of the triangle must
. select the best answer to fill in the blank.
be
a a whole number
b a rational number
c an irrational number
d a non-real complex number
explain your answer.

C.

Step-by-step explanation:

The area of the triangle is

You know that

Area - irrational number

- 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

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

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

.

step-by-step explanation:

.