HPC 6.2 Law of Cosines Day 2

HPC 6.2 Law of Cosines Day 2

​Time to apply your knowledge

Fill in the Blanks

The pitcher’s mound on a softball field is 43 feet from home plate. The distance between the bases is 60 feet, as shown in Figure 6.9. (The pitcher’s mound is not halfway between home plate and second base.) How far is the pitcher’s mound from first base?

Fill in the Blanks

Find the distance between the two planes to the nearest tenth of a mile.

—Two airplanes leave an airport at the same time. The heading of the first is N 10 E and the heading of the second is S 80 W. If the planes travel at the rates of 500 mi/h and 540 mi/h, respectively, how far apart are they after three hours?

Multiple Select

How would you find the area of the following triangle?

• Multiply the sides together and divide by 2

• Use the law of cosines to find the smallest angle and then use that angle to find the altitude and then plug into the area formula for triangles

• Guestimate

• Write down a random number and go do more important stuff. It's all about getting the points for completion. I'll figure it out after Mr. D explains it. My time is too valuable to give this much thought, I mean, when am I really going to use this anyway?

Used to find the area of a triangle when you only know the side lengths.

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Heron's Formula

Fill in the Blanks

Find the semiperimeter of the triangle.

Fill in the Blanks

Find the area of the triangle.

Multiple Choice

The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is

• (a) 1322 cm²

• (b) 1311 cm²

• (c) 1344 cm²

• (d) 1392 cm²

Multiple Choice

Find the area of an equilateral triangle with side length of 8?

• 8

• 15.58

• 27.71

• 62.91

Multiple Choice

Find the area of the triangle with sides 45.9, 49.1, 41.5.

• 884

• 868

• 887

• 952

Day 2
Page 417
#19, 24, 34, 37, 39, 43, 47, 49, 50

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Homework