Geometry (ACT Prep) - Law of Sines and Cosines

Geometry (ACT Prep) - Law of Sines and Cosines

Assessment

Flashcard

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides: Sin(A)/a = Sin(B)/b = Sin(C)/c.

2.

FLASHCARD QUESTION

Front

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: c² = a² + b² - 2ab * cos(C).

3.

FLASHCARD QUESTION

Front

How do you find the length of a side using the Law of Sines?

Back

To find a side length, use the formula: a = b * (Sin(A)/Sin(B)), where A and B are the angles opposite sides a and b.

4.

FLASHCARD QUESTION

Front

How do you find an angle using the Law of Sines?

Back

To find an angle, rearrange the Law of Sines: A = sin⁻¹(a * Sin(B)/b).

5.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle using the Law of Sines?

Back

Area = (1/2) * a * b * Sin(C), where a and b are two sides and C is the included angle.

6.

FLASHCARD QUESTION

Front

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

Back

In any triangle, the larger the angle, the longer the side opposite that angle.

7.

FLASHCARD QUESTION

Front

What is the sine of an angle in a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse: Sin(θ) = Opposite/Hypotenuse.

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