Geometry TNReady Flashcard 2 EOC

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What is the Law of Cosines?

Back

The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. It is used to find an unknown side or angle in a triangle when the other sides and angles are known. Formula: c² = a² + b² - 2ab * cos(C).

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What does SSS stand for in triangle similarity?

Back

SSS stands for 'Side-Side-Side'. It is a postulate that states if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for 'Side-Angle-Side'. It is a postulate that states if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

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What does AA stand for in triangle similarity?

Back

AA stands for 'Angle-Angle'. It is a theorem that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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How do you find the height of a tree using a kite?

Back

To estimate the height of a tree using a kite, you can use the concept of similar triangles or trigonometric ratios, depending on the information available.

Front

What is the formula to find the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

How do you use the Law of Cosines to find an angle?

Back

To find an angle using the Law of Cosines, rearrange the formula to solve for the cosine of the angle, then use the inverse cosine function to find the angle.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side. Conversely, the smaller the angle, the shorter the opposite side.