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Math Problems
Grade 6
Find missing angles in special triangles
A right triangle has one angle that measures
3
0
∘
30^\circ
3
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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A right triangle has one angle that measures
8
0
∘
80^\circ
8
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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One angle of a right triangle measures
6
0
∘
60^\circ
6
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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One angle of a right triangle measures
2
0
∘
20^\circ
2
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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One angle of a right triangle measures
2
5
∘
25^\circ
2
5
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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One angle of a right triangle measures
4
0
∘
40^\circ
4
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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One angle of a right triangle measures
5
0
∘
50^\circ
5
0
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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A right triangle has one angle that measures
4
5
∘
45^\circ
4
5
∘
. What is the measure of the other acute angle?
\newline
_____
∘
^\circ
∘
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In a right triangle, one angle measures
x
∘
x^\circ
x
∘
, where
\newline
sin
x
∘
=
4
5
\sin x^\circ = \frac{4}{5}
sin
x
∘
=
5
4
. What is
cos
(
9
0
∘
−
x
∘
)
\cos(90^\circ - x^\circ)
cos
(
9
0
∘
−
x
∘
)
?
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A right triangle has sides of
6
c
m
,
8
c
m
6 \mathrm{~cm}, 8 \mathrm{~cm}
6
cm
,
8
cm
, and
10
c
m
10 \mathrm{~cm}
10
cm
. Determine the measure of the smallest angle,
θ
\theta
θ
.
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The area of a triangle is
6
6
6
. Two of the side lengths are
7
7
7
.
1
1
1
and
5
5
5
.
3
3
3
and the included angle is acute. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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The area of a triangle is
3
3
3
. Two of the side lengths are
1
1
1
.
8
8
8
and
4
4
4
.
8
8
8
and the included angle is acute. Find the measure of the included angle, to the nearest tenth of a degree.
\newline
Answer:
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Find the area of triangle with base
5
cm
5\,\text{cm}
5
cm
and height
7
cm
7\,\text{cm}
7
cm
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