Geometry Review

Pythagorean Puzzles

1

If a²+b²<c², is the triangle acute, obtuse or right?

Obtuse

1

The length of one leg of a right triangle is 1 and the length of the hypotenuse is the square root of 50. What is the length of the other leg?

7

2

With side lengths 11.2, 6.5, and 7.1 does this figure form a triangle? If so what type of triangle?

Yes, Obtuse.

2

A right triangle has a hypotenuse of 10 cm and one leg of length 6 cm. What is the length of the other leg?

8 cm

3

A ladder 20 feet long is leaning against a wall. If the ladder makes a 60-degree angle with the ground, how far up the wall does the ladder reach?

17.3 or 10sqrt3

Easter Basket

1

How many pieces of silver did Judas trade the life of Jesus for?

30 Pieces of Silver

1

How many times did Jesus fall while carrying the cross

3 Times

2

When Jesus died there was darkness in the land. How long did it last?

3 Hours

2

Easter's date is determined by what?

The moon.  

The first Sunday after the full Moon that occurs on or after the spring equinox.

3

What's the name of the peanuts Easter special?

It's the Easter Beagle, Charlie Brown

Angle Antics

1

The length of the shorter leg of a 30°-60°-90° triangle is 3. What is the length of the hypotenuse?

6

1

The length of the longer leg of a 30°-60°-90° triangle is root108. What is the length of the shorter leg?

6

2

What is the sum of the interior angles of a hexagon?

720

2

The exterior angle of a polygon measures 30°, how many sides does the polygon have?

12 Sides

3

The interior angle of a regular polygon measures 170. How many sides does the polygon have?

36 Sides

Trig Triumphs

1

Which trig ratio relates the opposite and the Adjacent of a right triangle

Tangent

1

Opposite over Hypotenuse

Sine Ratio

2

The length of one leg of a right triangle is equal to the length of the other leg. What is the tangent of the angle between the hypotenuse and one of the other sides?

1

2

The length of the hypotenuse of a right triangle is 15 and the cosine of angleB is 1/3. What is the length of the side adjacent to angleB?

5

3

A right triangle has one angle 64 degrees and hypotenuse 34. Find the length of one leg.  Round to the tenth.

30.6 or 14.9

Triangle Trivia

1

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

180°

1

In a right triangle, what is the name of the side opposite the right angle?

The hypotenuse

2

What is the area of a triangle?

Area= 1/2 base x height

2

What is the name of a triangle that has no congruent sides?

Scalene

3

If the ratio of the angles of a triangle are 2x, 3x, and 4x.  What is the value of x, and what is the value of the largest angle?

x = 20

Largest angle = 80