Applications For Triangles Worksheet With Answer Key - Garnet Valley School District Page 15

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=
Substitute.
=
1797.76
Simplify.
The area of the deck is about 1798 square feet.
d.
Another way to find the area is to use the formula for the area of a square. The length of the side of
the deck is 2(21.2), or 42.4.
The area of the deck is about 1798 square feet.
50. ANS:
[4]
a.
In a 45 -45 -90 triangle, the length of the hypotenuse is the length of the short leg times
,
so the length of the hypotenuse is 7
in.
b.
The exact value of sin 45 is
=
=
.
c.
Area of a triangle
=
=
b = 7, c = 7
, A = 45
=
Simplify.
=
24.5
The area of the triangle is 24.5 in. .
d.
Another formula for the area of a triangle if the base length and height are known is
. For this triangle, b = 7 and h = 7 since they are the legs of a right triangle.
A
=
=
b = 7, h = 7
=
Simplify.
=
24.5
The area of the triangle is 24.5 in. .
51. ANS

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