Obj. 34 Solving Right Triangles
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Obj. 34 Solving Right Triangles The student is able to (I can): • Find the missing parts of a right triangle • Use trig ratios to solve problems
Transcript of Obj. 34 Solving Right Triangles
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Obj. 34 Solving Right Triangles
The student is able to (I can):
Find the missing parts of a right triangle
Use trig ratios to solve problems
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To solve a right triangle means to find allof the missing parts of the right triangle.
If you are given an angle and a side:
Subtract the angle from 90 to find the other acute angle
Use trig ratios to find one of the missing sides
Use either trig ratios or Pythagorean Theorem to find the third side
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If you are given two sides:
Use Pythagorean Theorem to find the missing side
Use trig ratios to find an angle
Unless all of your sides work out to be whole numbers, be sure to use the two given sides in your trig ratio to prevent rounding errors.
Subtract the angle you found from 90to find the other angle
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Examples Solve the triangles. Round sides to the nearest tenth and angles to the nearest whole degree.
1. mD=_____ED = ______
BD = ______
6
67B
E
D
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Examples Solve the triangles. Round sides to the nearest tenth and angles to the nearest whole degree.
1. mD=_____ED = ______
BD = ______
6
67B
E
D
adj
opp
hyp
EDtan67
6ED 6tan67
14.1
=
=
m D 90 67 23 = =
23
14.1
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Examples Solve the triangles. Round sides to the nearest tenth and angles to the nearest whole degree.
1. mD=_____ED = ______
BD = ______
6
67B
E
D
adj
opp
hyp
EDtan67
6ED 6tan67
14.1
=
=
m D 90 67 23 = =
2 2 2BD 6 14.1
BD 234.81
15.3
= +
=
23
14.1
15.3
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2. TA = _____
mA = _____mT = _____
12
18T
A
M
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2. TA = _____
mA = _____mT = _____
It doesnt matter whether you use T or A. The triangle is labeled for T.
12
18T
A
M2 2 2TA 18 12
TA 468 21.6
= +
=
hyp
opp
adj
21.6
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2. TA = _____
mA = _____mT = _____
It doesnt matter whether you use T or A. The triangle is labeled for T.
12
18T
A
M2 2 2TA 18 12
TA 468 21.6
= +
=
hyp
opp
adj
1
12tanT
18
12T tan
18
34
=
=
m A 90 34
56
= =
21.6
56
34
