(a)
If
(a)
Answer to Problem 14MCQ
Explanation of Solution
Given :
J designed a pinwheel to put in her garden. In the pin wheel, the blue
Calculation:
The red triangles are isosceles right angle triangles , so the measure of acute and congruent base angles is
The measure of each angle of equilateral triangle is
Let the measure of each congruent angle 1, 2, and 3 = x.
Since the sum of measures all the central angles is
So, the measure of each angle 1 , 2 , and 3 is
(b)
Find the perimeter of the pinwheel.
(b)
Answer to Problem 14MCQ
About 55 inches.
Explanation of Solution
Given :
J designed a pinwheel to put in her garden. In the pin wheel, the blue triangles are congruent equilateral triangles, each with an altitude of 4 inches. The red triangles are congruent isosceles right triangles. The hypotenuse of a red triangle is congruent to a side of the blue triangle.
Calculation:
The red triangles are isosceles right angle triangles , so the measure of acute and congruent base angles is
The measure of each angle of equilateral triangle is
The altitude divides the equilateral triangle in
So, the length of hypotenuse is :
For the red triangle , length of each leg :
Base of each red triangle is
Now, find the perimeter of each wing of pinwheel:
The perimeter is :
There are 3 congruent wings.
So, the perimeter of the pinwheel is :
So, the perimeter of the pinwheel is about 55 inches.
Chapter 8 Solutions
Geometry, Student Edition
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