RIGHT TRIANGLES
DEFINITIONS
FORMULAS
PROBLEM SOLVE
100

The longest side of a right triangle.

What is a hypotenuse?

100

The three types of sides in a triangle.

What are equilateral, isosceles, and scalene?

100

The formula for the area of a triangle.

What is A=1/2(bh)

Steal points from the group to your right.

100

Draw a RIGHT triangle. Select an angle that is not the right angle, mark it, then label the correct sides as: hypotenuse, opposite, and adjacent.

Pick a group to steal points from.

200

The sum of the acute angles in a right triangle.

What is a 90°?

200

A circle with a radius of 1, centered at the origin of a coordinate plane.

What is a unit circle?

200

The Pythagorean Theorem formula.

What is a2 + b2 = c2?

200

Mina measures a plot of land in the form of triangle ABC. She measures:

a=5m, b=7m, c=8; A=38.2°, B=60°, C=81.8°

Draw a triangle and place all relevant information at the appropriate place.

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400

The ratio of the opposite side to the hypotenuse.

What is sine?

Steal points from the group to your right.

400

The measure of the size of an angle based on the radius of a circle.

What is a radian?

Steal points from the group to your left.

400

The Law of Sines.

What is:

a/sin(A) = b/sin(B) = c/sin(C)

sin(A)/a = sin(B)/b = sin(C)/c

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400

A TV has a diagonal length of 39 inches. If the height of the TV is 15 inches, what is the width of the TV?

36 inches.

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500

Pythagorean triple that is NOT 3,4,5.

(5, 12, 13) ; (7, 24, 25) ; (8, 15, 17) ; (9, 40, 41) ; (11, 60, 61) ; (12, 35, 37)...

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500

The Triangle Inequality Theorem.

What is the theorem in which the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side of a triangle?

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500

The Law of Cosines (for missing side).

What is:

a= b2 + c2 - 2bccos(A)

b2 = a2 + c2 - 2accos(B)

c2 = a2 + b2 - 2abcos(C)

Steal points from the group to your left.

500

Milo is looking at the top of an 84 foot tall lighthouse at an angle of elevation of 58°. If Milo is 6 feet tall, how far is he standing from the base of the lighthhouse? (Can round to 2 decimal places).

Milo is standing 48.74ft away (exact: 48.73980ft)

Pick a group to steal points from.

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