Area of A Triangle
Applications of Right Triangles
Find The Area
Find the Dimensions
100

The formula if I know the base, b, and the height, h, of a triangle. 

What is 

1/2 bh?

100

Pythagorean's Theorem relates the sides in this fashion. Use words, not symbols. 

What is "the square of the hypotenuse equals the sum of the squares of the legs of a right triangle"?

100

Base is 10 units and height is 7 units. 

What is 35 square units? 

100

The area of a right triangle is 25 square inches, and the height is 10 inches. The base has this length. 

What is 5 inches? 

200

The formula if two sides,

a

 and

b

and the included angle,

theta

 are known. 

What is 

1/2 ab  sin (theta)?

200

Find angle B in degrees. Round to the nearest tenth of a degree. 

What is 12.7 degrees? 

200

One side is 4 inches, another side is 6 inches and the included angle is 30 degrees. 

What is 6 square inches? 

200
The area is 35 square centimeters, the length of the sides are 7 centimeters and 10 centimeters. The angle between these two sides (in degrees). 

What is 90 degrees? 

300

Heron's Formula. 

What is  sqrt(s(s-a)(s-b)(s-c)) ?

300
The angle of elevation (in degrees) of the Sun when a building 300 feet high casts a shadow 50 feet long.

What is 80.5 degrees? 

300
All three sides are 4 feet (exact answer).

What is 

sqrt(48)?

300

Two sides are 4 units and 5 units and the semiperimeter is 8 units.  

What is 7 units? 

400

The formula for s in Heron's Formula. 

What is 

(a+b+c)/2?

400

Find s (the arclength) in miles. Round to the nearest tenth. 

What is 23.3 miles? 

400

Round to the nearest hundredth. 

What is approximately 41.95 square units? 

400

Find BC using the diagram

Hint: Use Law of Sines

What is 219 feet? 

500

The formula used when all sides of a triangle are known to determine the area (name is sufficient). 

What is Heron's Formula? 

500

If the speed limit is 55 mph and a ticket is issued for speeds 5 mph or over, The range of angle measurements that the trooper issues a ticket. 

What is between 0 degrees and 18.8 degrees? 

500

Round to the nearest hundredth, with a = 3 feet, h = 10 feet and 

theta = 150^{\circ}


What is 17.32 square feet? 

500

The missing side if one side is 2.82 miles, another side is 3.56 miles and the angle between these two sides is 40.3 degrees. Hint: Use Law of Cosines. 

What is approximately 2.30 miles?