Question

The height of an equilateral triangle h equals 3√2s where s is the length of a side. Suppose an equilateral triangle is made with 2-inch toothpicks. a. Which set of numbers best describes the value of s in inches? b. Which set of numbers best describes the value of h in inches? A. a. Whole numbers b. Rational numbers B. a. Whole numbers b. Irrational numbers C. a. Integers b. Irrational numbers D. a. Integers b. Rational numbers

Answer 1

The correct option is;

B. a. Whole number b. Irrational number

Explanation:

The height, h of the equilateral triangle = 3·√2·s

The item by which equilateral triangle is made = 2-inch toothpicks

Therefore, we have;

The sides of the equilateral triangle = Comprises multiples of 2 inches

Therefore, the sides of the equilateral triangle is a whole number

The height of the triangle is the product of the side and (√3)/2

Therefore, the height of the triangle is an irrational number

The correct option is A. a. Whole number b. Irrational number.

A whole number are the positive counting numbers, 0, 1, 2, ..., while an integer includes negative numbers which is not possible for a real triangle.