Applications For Triangles Worksheet With Answer Key - Garnet Valley School District Page 14
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1
2
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15
16??? 2 cm
???
1 cm
The area of the hexagon is therefore
.
b.
Because regular hexagons are similar, their areas will be proportional to the square of their
2
similarity ratio.
.
cm
.
49. ANS:
[4]
a.
30 ft
a
x
The radius of the square from its center to a corner is 30 feet. A triangle can be formed where x is
half the side length and a is the apothem.
b.
The triangle in the diagram is a 45 -45 -90 triangle. The hypotenuse 30 is x
and a
and a = x. To find the value of x, or a, write and solve an equation.
x
30
=
Write an equation.
=
Divide each side by
.
21.2
x
Use a calculator.
So, x = a
21.2 and the perimeter is about 2(21.2)(4) feet, or 169.6 feet.
c.
Now, use the formula for the area of a regular polygon.
A
=
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