Geo. Mean
What does Hypotenuse mean?
The longest side of a right triangle across from the right triangle.
The segments that are shared between two triangles are called?
Geometric means
When you are solving a right triangle with the pythagorean theorem, what is the last step to do?
To always take the square root of both sides
What do we label the sides?
Adjacent
Opposite
Hypotenuse
What does every right triangle have?
Two acute angles
Recall the similar triangles have (1)______angle measures and the sides are (2)________.
A) Congruent
B) Proportional
1. Congruent
2. Proportional
How do you know if a triangle is an acute using the pythagorean theorem?
If Csquared is smaller
What is the pythagorean triple?
It is a set of three positive integers, a.b. And c theatsatisft the equation A ssquare+Bsquare= Csqures.
What is the trigonometric ratio for Sine?
S=Opp over Hyp
Corresponding sides of the triangle are ___________.
Proportional
If you start with a right triangle, triangle ABC, Then draw an altitude from the right angle to the opposite side. label the new point of the intersection on the hypotenuse D. How many right triangles have you created?
3 Right triangles
What is the equation for the pythagorean theorem?
Asquared+Bsquared = Csquared
What is an example of a pythagorean triple?
(3,4,5) (6,8,10) (9,12,15) (7,24,25) (5,12,13)
What is the trigonometric ratio for Cosine?
C=Adj over Hyp
Corresponding angles of a triangle are _____.
Congruent
If you start with a right triangle, triangle ABC, Then draw an altitude from the right an to the opposite side. label the new point of the intersection on the hypotenuse D. What are the shared parts?
CD, AC, BC
Simplify the square root of 18.
3 square root 2
How do you find the area of a triangle?
A=base x height
Divided by 2
What is the trigonometric ratio for tangent?
T=Opp over Adj
The ratios of the measures of corresponding sides are _____.
Equal
If you start with a right triangle, triangle ABC, Then draw an altitude from the right angle to the opposite side. Label the new point of the intersection on the hypotenuse D. AB= 8 DB= 4 Find CD
CD=4 square root 3
Simplify the square root of 72.
6 square root 2
What does the Pythagorean theorem do?
It’s a rule for solving right triangles.
What are the 3 steps of solving a triangle with the trigonometric ratio?
1st step: 3 labels
2nd step: 2 Sides
3rd Step: 1 equation
If there exists a correspondence between the vertices of two triangles such that the three angles of one triangle are congruent of the corresponding angles of the other triangle, then the triangles are similar.
AAA
Postulate