Law of Sines
Law of Cosines
Area
Application
100

Given a triangle with <A = 42 degrees, <B = 63 degrees and a = 12 cm, find b.

What is 16 cm?

100

Given a triangle with <B = 110 degrees, a = 10 cm, and c = 15 cm, find b.

What is 20.7 cm?

100

The area of the triangle given <A=62 degrees, b = 12 m and c = 5 m.

What is 26 m2?

100

A triangle has sides measuring 32m, 28m, and 32m.  

Find the largest angle of the triangle to the nearest degree.

What is 64 degrees?

200

Given a triangle with <A = 110 degrees, <C = 32 degrees, and b = 12, find the measure of <B.

What is 38 degrees?

200

Given a triangle with a = 32 feet, b = 20 feet, and c = 40 feet, find the measure of <B.

What is 30 degrees?

200

The area of triangle ABC given a = 16 ft, b = 12 ft and c = 14 ft.

Round to the nearest hundredth.

What is 81.33 ft2?

200

A TV antennae sits on a roof. Two 80 foot guy wires are positioned on opposite sides of the antennae. The angle of elevation each wire makes with the ground is 23 degrees. Find the distance on the ground between the 2 wires.

What is 31.90 feet?

300

Given a triangle with a= 42, b=30, and <B=32. Find the measure of <A.

HINT: there are TWO answers

What is 48 degrees or 132 degrees?

300

Given a triangle with a = 12, b = 18, and the measure of <C = 44 degrees, find c.

What is 13?

300

The area of the triangle ABC given <B = 54.3 degrees, a = 22.4 and c = 26.9.

Round to the nearest hundredth.

What is 244.66 square units?

300

Two streets meet at an angle of 52 degrees.  A triangular section of grass located at their intersection has sides of 60m and 65m.  What is the total perimeter of the grass lot?

Round to the nearest integer.

What is 180 m?

400

Given a triangle with <C=65 degrees, b = 10, and c=8, find the measure of <B.

What is no triangle possible?

400

Given a triangle with a = 25.9, c = 33.4 and the measure of <B = 84 degrees, find b.

What is 40.1?

400

A parallelogram has sides of 10cm and 16cm.  The acute angle formed by the sides measures 60 degrees. 

Find the area of the entire parallelogram.

What is 138.56 cm2?

400

A regular pentagon is inscribed in a circle of radius 1cm.  

Find the perimeter of the pentagon.  Round to the nearest tenth.

What is 5.9 cm?
500

Given a triangle with <A = 14.8 degrees, c = 6.35, and a = 4.8, find the measure of <C.

HINT: there are TWO answers


What are 19.8 degrees or 160.2 degrees?

500

Given a triangle with a = 32.5, b = 40.1 and c = 29.6, find the measure of <B.

What is 80.3 degrees?

500

A regular octagon is inscribed in a circle of radius 12in.

Find the area of the entire octagon.  Round to the nearest hundredth.

What is 407.29 square units?

500

Two planes leave an airport at the same time, flying on paths that are 135 degrees apart from each other.  One is traveling 500 km/hr and the other at 300 km/hr.  What is the distance between them 2 hours later?

Round to the nearest hundredth.

What is 1486.11 km?

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