Pythagorean Theorem

Soh Cah Toa

Helpful Hints/Practice

Law of Sines and Cosines

Similar or congruent

100

What kind of triangles does Pythagorean Theorem work for?

Right triangles

100

What types of triangles can you use Soh Cah Toa for?

Right triangles

100

How many degrees are in a triangle?

180 degrees

100

What types of triangles can you use Law of Sines and Law of Cosines with?

Non right triangles

100

Triangles that have the same angles, but different side lengths

similar triangles

200

What can you use Pythagorean Theorem for?

Solving for missing side lengths of right triangles or checking if a triangle is right or not.

200

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.

200

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

200

When would you use the Law of Sines?

When you know two sides and two angles of the triangle.

200

Triangles with the exact same side lengths and angles

Congruent triangles

300

What do the variables a, b, and c stand for?

a and b are the legs of the triangle and c is the hypotenuse.

300

Equations to use for Soh Cah Toa

Soh - Sinx=o/h

Cah- Cosx=a/h

Toa- Tanx=o/a

300

How many degrees are in a straight angle?

180 degrees

300

When would you use the Law of Cosines?

When you know three sides and one angle of the triangle. SSS OR SAS

300

SSS

When three sides are the same use the theroem

400

How many side lengths do you need to know to use Pythagorean Theorem?

2 side lengths

400

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

400

Z, F, C patterns

Name some angle theorems

400

What is the equation for Law of Sines?

SinA/a=SinB/b=SinC/c

400

what does this symbol mean? ∠TSU ≅ ∠VSW

angles S and S are congruent

500

What is the equation for Pythagorean Theorem?

a^{2}+b^{2}=c^{2}

500

When would you use the inverse equation of Soh Cah Toa?

When the measurement that is unknown is the angle.

500

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

500

What is the equation for Law of Cosines?

a^{2}=b^{2}+c^{2}-2bcCosA

500

_____ triangles will have the same ratios of side lengths

What are similar triangles

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