Solving Right Triangles

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equilateral triangle

A triangle with three congruent sides

adjacent side

Beside the angle

opposite side

On the opposite side of the triangle

35.5

Solve for the angle measure to the nearest 1/10th of a degree.

35.6

Solve for the angle measure to the nearest 1/10th of a degree.

35.9

Solve for the angle measure to the nearest 1/10th of a degree.

41.2

Solve for the angle measure to the nearest 1/10th of a degree.

43.9

Solve for the angle measure to the nearest 1/10th of a degree.

44.4

Solve for the angle measure to the nearest 1/10th of a degree.

49.7

Solve for the angle measure to the nearest 1/10th of a degree.

50.9

Solve for the angle measure to the nearest 1/10th of a degree.

64.3

Solve for the angle measure to the nearest 1/10th of a degree.

66.6

Solve for the angle measure to the nearest 1/10th of a degree.

70.3

Solve for the angle measure to the nearest 1/10th of a degree.

3/5

sin A

4/5

sin B

20/29

sin F

21/29

sin Y

12/13

sin Z

3/4

tan A

4/3

tan B

5/12

tan E

20/21

tan F

21/20

tan Y

12/5

tan Z

angle of elevation

the angle formed by a horizontal line and a line of sight to a point above

angle of depression

the angle formed by a horizontal line and a line of sight to a point below

theta

the symbol θ which is commonly used as a variable for an angle

complementary angles

two angles whose measures have a sum of 90°

acute angle

an angle that measures greater than 0° but less than 90°

pythagorean theorem

a² + b² = c² (in a right triangle with legs a and b and hypotenuse c)

4/5

cos A

3/5

cos B

12/13

cos E

21/29

cos F

20/29

cos Y

5/13

cos Z

cosine

in a right triangle, the ratio of the adjacent side of an angle to the hypotenuse

tangent

in a right triangle, the ratio of the opposite side of an acute angle to the adjacent side of the acute angle

sine

in a right triangle, the ratio of the opposite side of an angle to the hypotenuse

leg of a right triangle

one of the two sides of a right triangle that form the right angle

trigonometry

a branch of mathematics studying the relationships between angles and sides of triangles and other figures

trigonometric ratio

a ratio of two sides of a right triangle

right triangle

a triangle with one 90° angle


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