Pythagorean Theorem
What kind of triangles does Pythagorean Theorem work for?
Right triangles
What types of triangles can you use Soh Cah Toa for?
Right triangles
How many degrees are in a triangle?
180 degrees
What types of triangles can you use Law of Sines and Law of Cosines with?
Non right triangles
Triangles that have the same angles, but different side lengths
similar triangles
What can you use Pythagorean Theorem for?
Solving for missing side lengths of right triangles or checking if a triangle is right or not.
What can Soh Cah Toa solve for in triangles?
Soh Cah Toa is used to find missing side lengths or angle measures in right triangles.
If we know the measurements of two angles in a triangle, how can we find the measure of the third angle? For example if angle A= 20 deg, Angle B = 80 deg, how can we find Angle C?
C=180- the other two angles. for example 180-20-80=C
When would you use the Law of Sines?
When you know two sides and two angles of the triangle.
Triangles with the exact same side lengths and angles
Congruent triangles
What do the variables a, b, and c stand for?
a and b are the legs of the triangle and c is the hypotenuse.
Equations to use for Soh Cah Toa
Soh - Sinx=o/h
Cah- Cosx=a/h
Toa- Tanx=o/a
How many degrees are in a straight angle?
180 degrees
When would you use the Law of Cosines?
When you know three sides and one angle of the triangle. SSS OR SAS
SSS
When three sides are the same use the theroem
How many side lengths do you need to know to use Pythagorean Theorem?
2 side lengths
Given triangle ABC, if Sin C= 4/5, then what is Cos C? (Let angle B be the right angle) adjacent = 3
Cos C= 3/5
Z, F, C patterns
Name some angle theorems
What is the equation for Law of Sines?
SinA/a=SinB/b=SinC/c
what does this symbol mean? ∠TSU ≅ ∠VSW
angles S and S are congruent
What is the equation for Pythagorean Theorem?
a2+b2=c2
When would you use the inverse equation of Soh Cah Toa?
If we know two triangles meet at the same vertice and make a 90-degree angle. One of the angles is known, how can we solve for the unknown?
90 - the known = the unknown angle
What is the equation for Law of Cosines?
a2=b2+c2-2bcCosA
_____ triangles will have the same ratios of side lengths
What are similar triangles