Michale: Practice 4.3: Angle Side Relationships in Triangles

Front

What is the Angle-Side Relationship in triangles?

Back

The Angle-Side Relationship states that in a triangle, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.

Tags

CCSS.HSG.CO.C.9

Front

How do you determine the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Front

What is the relationship between the smallest angle and the smallest side in a triangle?

Back

The smallest angle is located opposite the smallest side.

Tags

CCSS.HSG.CO.C.10

Front

If two sides of a triangle are equal, what can be said about the angles opposite those sides?

Back

The angles opposite the equal sides are also equal.

Tags

CCSS.8.G.A.5

Front

What is the sum of the interior angles in any triangle?

Back

The sum of the interior angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

How can you find the length of a side in a triangle using the Law of Sines?

Back

The Law of Sines states that the ratio of a side length to the sine of its opposite angle is constant for all three sides of a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the Law of Cosines and when is it used?

Back

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles and is used when you know two sides and the included angle or all three sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you order the sides of a triangle based on the angles?

Back

To order the sides from greatest to least, arrange them according to the angles opposite those sides, with the largest angle corresponding to the longest side.

Tags

CCSS.HSG.CO.C.10

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side, and it is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the angles and sides in a right triangle?

Back

In a right triangle, the side opposite the right angle is the longest (hypotenuse), and the other two sides are shorter, corresponding to the acute angles.

Tags

CCSS.HSG.CO.C.10