Unit 3: Trigonometry

what is the c, a and b in Pythagorean theorem

c = longest side across from the right angel known as the hypotenuse

a and b = legs

what do all the angles sum up to?

180 degrees

what can triangles be?

obtuse, right, acute, isosceles, equilateral or scalene

what does it mean when two triangle is congruent?

if the two triangles are IDENTICAL (all three sides and angles are the same)

What does it mean when two triangles are similar?

if two triangles have the same angles measurements inside, but the sides of one have been multiplied by scale factor to get a second

Hypotenuse

longest side across from the right angle

Adjacent

side right next to the angle your working with. Helps to create the angle

Opposite

side across from the angle your working with

what does it mean when it asks for unknown measure?

all measures that we don’t know

Angel of elevation

the angle formed between a line of sight and a horizontal when an observer looks upward. Also known as the angle of inclination

Angle of Depression

The angle formed between a line of sight and a horizontal when an observer looks downard

What is a equilateral triangle?

three equal sides

What is a isosceles triangle?

two equal sides

What is a scalene triangle?

has no equal sides

What is an acute triangle?

three angles non of them are 90 degrees

What is a right triangle?

has one 90 degree angle

What is a obtuse triangle?

has one angle greater than 90 degrees

what does it mean when it asks you to a solve a triangle?

calculate ALL unknown side lengths and angles

Why can’t the sine ratio be greater than one?

the sine ratio is the ratio of the opposite side to the hypotenuse. The hypotenuse is the longest side in a right triangle, the length of the opposite side cannot be greater than the length of the hypotenuse.