Algebra and Trigonometry: Non-Right Triangles and Law of Cosines

Algebra and Trigonometry: Non-Right Triangles and Law of Cosines

Assessment

Interactive Video

Created by

Amelia Wright

Mathematics

9th - 12th Grade

Hard

55:49

10 questions

Show answers

1.

Multiple Choice

30 sec

1 pt

What is the primary condition for using the Law of Cosines?

When the triangle is a right triangle

When the triangle is an equilateral triangle

When the triangle is a non-right triangle

When the triangle has all sides equal

2.

Multiple Choice

30 sec

1 pt

In Heron's formula, what does 's' represent?

The height of the triangle

The semi-perimeter of the triangle

The sum of all sides

The area of the triangle

3.

Multiple Choice

30 sec

1 pt

Which formula is used to find an unknown angle when all sides of a triangle are known?

Heron's Formula

Law of Cosines

Pythagorean Theorem

Law of Sines

4.

Multiple Choice

30 sec

1 pt

What is the first step in solving for an unknown side using the Law of Cosines?

Using the Pythagorean Theorem

Setting up the equation with known sides and angle

Cross-multiplying the sides

Finding the semi-perimeter

5.

Multiple Choice

30 sec

1 pt

How do you calculate the area of a triangle using Heron's formula?

By using the Law of Sines

By using the Law of Cosines

By using the height and base

By using the semi-perimeter and side lengths

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