Solving Acute or Obtuse Triangles

Solving Acute or Obtuse Triangles

Assessment

Flashcard

Mathematics

10th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Sine Rule?

Back

The Sine Rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. It is expressed as: a/sin(A) = b/sin(B) = c/sin(C).

2.

FLASHCARD QUESTION

Front

What is the Cosine Rule?

Back

The Cosine Rule relates the lengths of the sides of a triangle to the cosine of one of its angles. It is expressed as: c² = a² + b² - 2ab*cos(C).

3.

FLASHCARD QUESTION

Front

When should you use the Sine Rule?

Back

Use the Sine Rule when you know two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).

4.

FLASHCARD QUESTION

Front

When should you use the Cosine Rule?

Back

Use the Cosine Rule when you know two sides and the included angle (SAS) or all three sides (SSS) to find an angle.

5.

FLASHCARD QUESTION

Front

How many parts do you need to equate when using the Sine Rule?

Back

You need to equate 2 parts (fractions) when using the Sine Rule.

6.

FLASHCARD QUESTION

Front

What is the relationship between 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.

7.

FLASHCARD QUESTION

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): c² = a² + b².

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