So much for so little, power of the

triangle…

*

*

*How do I know I have a triangle?

*

*Is the triangle a right triangle? How do you

know?

*

*Which side is the hypotenuse and which ones

are the legs?hypotenuse

leg1

leg2

*

*Which is the longest side? Can a leg be longer

than the hypotenuse? Equal to hypotenuse?

Explain. Can the lags be equal to each other?

hypotenuse

leg1

leg2

*

*Which is the largest angle? Can all the angles

be the same size? Can any one of them be

obtuse? Explain.

*

*How does the length of side relate to the size

of the angle opposite it?

A

B

C

*

*Given two sides find the missing side dimension

by Pythagoras Theorem

A

B

C

54

b = ??

*

*With reference to an angle, which side is

opposite and which one is adjacent to the

reference angle?

C

Adjacent

Opposite

Hypotenuse

*

*Define three trigonometric ratios using fixed

“hypotenuse” and relative “opposite” and

“adjacent”: sine, cosine and tangent of each

acute angle.

Adjacent

Opposite

C

B

A

*

*Evaluate trigonometric ratios given an acute

angle and at least one side.

C

B

A55º

12

cos C =

sine C=

sin B =

cos B =

tan B =

tan C =

*

*Compare trig ratios of similar right triangles

and make and verify a conjecture

A

B

C

159

12Q

P

R

53

4

*

*Find missing angle measures and side lengths

from limited information given by using

Pythagorean Theorem and/or trigonometric

ratios

C

B

A55º

12

c

am B = ??

a = ??

c = ??

*

*Solve real world problems using trigonometry

At 57" from the base of

a building you need to

look up at 55° to see

the top of a building.

What is the height of

the building?