Section 10.2 Non-right Triangles: Law of Cosines Video Quiz

What is the primary condition for using the Law of Cosines instead of the Pythagorean Theorem?

• When the triangle is a non-right triangle

• When the triangle is an equilateral triangle

• When the triangle has all equal sides

• When the triangle is a right triangle

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CCSS.HSG.SRT.D.11

CCSS.HSG.SRT.D.10

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

• The sum of the angles of the triangle

• The semi-perimeter of the triangle

• The height of the triangle

• The area of the triangle

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CCSS.6.G.A.1

When solving for an unknown side using the Law of Cosines, what is the first step after setting up the equation?

• Subtracting the known sides

• Multiplying the known sides

• Adding the known sides

• Taking the square root of both sides

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the next step after finding one angle using the Law of Sines?

• Using the triangle angle sum theorem to find the remaining angle

• Finding the area of the triangle

• Dividing the triangle into two right triangles

• Using the Law of Cosines to find the remaining sides

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• By using the radius of the circumscribed circle

• By using the angles of the triangle

• By using the base and height of the triangle

• By using the semi-perimeter and the lengths of the sides

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CCSS.6.G.A.1

What is the first step in using Heron's formula to find the area of a triangle?

• Subtract the smallest side from the largest side

• Find the square root of the product of the sides

• Add the three sides and divide by two

• Multiply the three sides together

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CCSS.6.G.A.1

In a parallelogram, if the longer diagonal is 22 feet and the sides are 11 feet and 17 feet, what is the length of the shorter diagonal?

• 20.5 feet

• 15.7 feet

• 22.1 feet

• 18.3 feet

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CCSS.HSG.CO.C.11

How do you find the perimeter of a regular octagon inscribed in a circle with a radius of 8 inches?

• Use the law of cosines to find one side and multiply by 8

• Divide the radius by 8 and multiply by 360

• Use the law of sines to find one side and multiply by 8

• Multiply the radius by 8

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CCSS.7.G.B.4

What is the distance between two cities if one travels 300 miles per hour due west and the other travels 25 degrees north of west at 420 miles per hour after 1.5 hours?

• 500 miles

• 292.4 miles

• 630 miles

• 450 miles

How do you find the area of a quadrilateral with sides 4.5, 7.9, 9.4, and 12.9, and an angle of 117 degrees between the two smaller sides?

• Use the law of sines to find the area directly

• Divide the quadrilateral into two triangles and use Heron's formula

• Multiply all sides together and divide by the angle

• Use the Pythagorean theorem

Tags

CCSS.HSG.SRT.D.9