The Full 180
Side Hustle
Corner Cases
Sine of the Times
Back to Basics
200

What is the sum of the interior angles of any triangle?

180°

200

What is the formula for the Pythagorean Theorem?

a2 + b2 = c2

200

What is the name of an angle that measures exactly 90°?

A Right Angle

200

Name any one of the three primary trigonometric functions used to solve right triangles.

Sine, Cosine, or Tangent

200

What is the perimeter of a square if one of its sides is 5 inches long?

20 inches

400

If a triangle has two angles that measure 60° each, what is the measure of the third angle?

60°

400

In the Pythagorean Theorem, what is the specific name for the longest side (side "c")?

The Hypotenuse

400

Complementary angles add up to how many degrees?

90°

400

Which trig ratio (Sine, Cosine, or Tangent) represents the ratio of the Adjacent side to the Hypotenuse?

Cosine

400

What is the specific name for a polygon that has exactly five sides?

A Pentagon

600

In a right triangle, if one angle is 90° and another is 40°, what is the measure of the third angle?

50°

600

In a right triangle, what are the two shorter sides (a and b) called?

Legs

600

What do you call a triangle where all three angles are equal?

Equiangular or Equilateral

600

If cos(x) = 4/5  and the hypotenuse of the triangle is 5, what is the length of the adjacent side?

4

600

What is the area of a triangle that has a base of 12cm and a height of 4cm?

24cm

800

Can a triangle have two right angles? Why or why not?

No; the angles would add up to more than 180°

800

A right triangle has legs of 6 and 8. What is the length of the hypotenuse?

10

800

If Line A and Line B are perpendicular, what is the measure of the angle formed where they intersect?

90°

800

If sin(x) = 3/5 and the hypotenuse of the triangle is 10, what is the length of the opposite side?

6

800

In geometry, if two shapes have the exact same shape and the exact same size, what is the mathematical term used to describe them?

Congruent

1000

A triangle has an angle of 15° and another angle of 97°, what is the measure of the third angle? 

68°

1000

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

12

1000

What do we call two angles whose measures add up to exactly 180°?

Supplementary Angles

1000

If the opposite side of a right triangle is 3 and the adjacent side is 4, what is the value of tan(x)?

3/4 or 0.75

1000

What do we call two lines that are in the same plane but never intersect, no matter how far they are extended?

Parallel Lines