Title: Special Right Triangles and Area
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2Special Right Triangles and Area
3In triangle ABC, is a right angle and 45. Find
BC. If you answer is not an integer, leave it in
simplest radical form.
4Find the length of the hypotenuse.
5Find the length of the leg. If your answer is not
an integer, leave it in simplest radical form.
6Find the lengths of the missing sides in the
triangle.
7Find the value of the variable. If your answer is
not an integer, leave it in simplest radical
form.
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10Find the value of each variable.
Shorter Leg 8 2x x 4
Longer Leg y xv3 y 4v3
11Find the lengths of a 30-60-90 triangle with
hypotenuse of length 12.
Shorter Leg 12 2x x 6
Longer Leg y xv3 y 6v3
12The longer leg of a 30-60-90 has length 18.
Find the length of the shorter leg and the
hypotenuse.
18
x
y
Shorter Leg
Hypotenuse
13Find the area. The figure is not drawn to scale.
14Find the area. The figure is not drawn to scale.
15Find the area of a parallelogram with the given
vertices.
P(1, 3), Q(3, 3), R(7, 8), S(9, 8)
10 units2
16Find the value of h in the parallelogram.
1750
18Find the area. The figure is not drawn to scale.
19Find the area. The figure is not drawn to scale.
20Find the area. The figure is not drawn to scale.
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22Find the area. The figure is not drawn to scale.
23Find the length of the missing side. The triangle
is not drawn to scale.
24Find the length of the missing side. The triangle
is not drawn to scale.
25Find the length of the missing side. The triangle
is not drawn to scale.
26Find the area of the triangle. Leave your answer
in simplest radical form.
27A triangle has sides that measure 33 cm, 65 cm,
and 56 cm. Is it a right triangle? Explain
It is a right triangle because the sum of the
squares of the shorter two sides equals the
square of the longest side.