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About 45-45-90
45-45-90 Problems
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60-30-90 Problems
About 60-30-90
100

What does one of the base angles equal?

45

100

If the legs of a 45-45-90 triangle are both 8, what does the hypotenuse equal?

8 (radical 2)

100
This triangle has a hypotenuse of 2x

30-60-90

100

If the hypotenuse of a triangle is 14, what is the length of the shorter leg?

7 :)

100

What do both of the base angles equal IF ADDED TOGETHER?

90

200

True or false:

The legs are NOT congruent

False

200

If the hypotenuse of a 45-45-90 triangle is 15, what does one of the legs equal?

7.5 (radical 2)

200

If a diagonal goes through a square, what type of triangle is made?

45-45-90

200

If the hypotenuse is 8, what is the length of the longer leg?

4 radical 3

200

True or false:

Is a 30-60-90 triangle an equilateral triangle?

False, it's scalene.

300

True or false:

Are 45-45-90 triangles isosceles triangles?

True

300

If you put 2 45-45-90 triangles together to make a quadrilateral, which shape would it be and what does each of its interior angles equal?

Square; 90

300

What type(s) of special right triangle(s) have combined base angle measures of 90 degrees?

Both 45-45-90 and 30-60-90

300

Find the hypotenuse of a 30-60-90 triangle with a longer leg of 5 radical 3

10

300

? |\   2x                                                                       |_\                                                                            x

What does the ? equal?

x (radical 3)

400

x |\   x (radical 2)                                                       |_\                                                                             ?

What does the ? equal?

x

400

Find the area of a 45-45-90 triangle if the hypotenuse is 9 radical 2

40.5 units squared

400

What type of triangle would be 1/12 of a hexagon? (Hint: 1/6 of a hexagon is an equilateral triangle)

30-60-90

400

Find the area of a 30-60-90 triangle if the shorter leg is 5 inches (round to the nearest hundredth)

21.65 inches squared

400

What is the relationship between the shorter leg and the hypotenuse?

The hypotenuse is 2 times the shorter leg.

500

What is the relationship between the hypotenuse and a leg?

The hypotenuse is (radical of 2) times a leg.

500

Find the area of a 45-45-90 triangle if the hypotenuse is 8

16 units squared

500

NO CALCULATORS!!! Which hypotenuse is longer?

A 45-45-90 triangle with a hypotenuse of 35 radical 2

OR

A 30-60-90 triangle with a longer leg of 30 radical 3?

The 30-60-90 triangle

500

Find the area of an equilateral triangle if each side length is 4. Round to the nearest hundredth.

6.93 inches squared

500

What is the relationship between the longer leg and the hypotenuse?

Hypotenuse is 2x, longer leg is radical 3 x