Law of Cosine

Find QR

• 34.7 km
• 2.2 km
• 13.74
• 31.1 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find XZ

• 16.004 meters
• 544.165 meters
• 34.7 meters
• 1204.165 meters

Tags

CCSS.HSG.SRT.D.11

CCSS.HSG.SRT.D.10

Clint is building a wooden swing set for his children.  Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle.  To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

• 5.461 feet
• 9.743 feet
• 6 feet
• 7.65 feet

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Find BC

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°.

• 17.8m²

• 14.6m²

• 16.4m²

• 12.9m²

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

CCSS.HSG.SRT.D.9

A triangle with two sides that measure 5 cm and 8 cm with an included angle of 39°

• 15.9cm²
• 12.6cm²
• 15.3cm²
• 16.2cm²

Tags

CCSS.HSG.SRT.D.9

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA
• c² = a² - b² - 2abcosC
• c² = a² + b² - 2abcosC
• (cos A)/a = (cos B)/b

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<C

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find angle Z

• 20.145 degrees

• 71.232 degrees

• 51.055 degrees

• 57.713 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use Law of Cosines to find angle T

• 62.2 degrees
• 53.1 degrees
• 59.5 degrees
• 64.7 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11