(a)
To Explain: How you know that any triangle made out of equilateral triangle is equilateral.
(a)
Answer to Problem 21E
All equilateral triangle has equal angles and equal sides.
Explanation of Solution
Given:
All equilateral triangle has equal angles and equal sides.
Thus
Assuming the length of side be
(b)
To Find: The area of first four triangle in the pattern.
(b)
Answer to Problem 21E
Explanation of Solution
Given:
The area of first four triangles are
(c)
To Find: Any pattern in the areas. Predict the area of the seventh triangle in the pattern.
(c)
Answer to Problem 21E
Explanation of Solution
Given:
The pattern in the area is
Let the number of triangle be
Then
Area be
Thus
Area of seventh triangle is
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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