Special Right Triangles

Pythagorean

100

Do the following sides form a Pythagorean triple? 3, 4 and 5?

Yes

200

A triangle has lengths of 7-?-25. The perimeter of the triangle is 56. What is the missing side length x?

24

300

What is the Pythagorean Theorem? (Name the formula)

a²+b²=c²

400

Find the missing side

 a = 7  b=4  c = ?

c = 8.06

500

Find the missing side

a = 10  b = ?  c = 30

b = 28.2 

45-45-90 Right Triangles

100

If an 45-45-90 right triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?

x, x, x sqrt 2

4

200

What is the length of the hypotenuse of a 45-45-90 triangle that has a leg of 1?

x, x, x sqrt 2

1√2

300

Which has the greater area, an 45-45-90 Right Triangle with a leg length of 4 or a 3,4,5 triangle?

An 45-45-90 right triangle with a leg length of 4

400

What is the area of a 45-45-90 triangle with a hypotenuse length of 10√2?

50

30-60-90 Right Triangles

100

What is the area of a 30-60-90 triangle with a short leg length of 2 inches? Do not round your answer. Leave as a radical.

x, xsqrt3, 2x

2√3

200

In a 30-60-90 triangle the hypotenuse has a length of 8 feet. What is the length of the longer leg of the triangle?

x, xsqrt3, 2x

4√3

300

What is the length of the hypotenuse of a 30-60-90 triangle with a longer leg that measures 7√3?

x, xsqrt3, 2x

14

Mystery

100

What is today's date?

Friday January 27, 2023

200

How many days are in January?

31 days

300

When is our test?

Tuesday

400

What was the final score of my game last night?

57-19

Ratios and Proportions

100

Simplify 

3/15

1/5

200

Solve for x

3/x =10/20

x = 6

300

Solve for x

(x+2)/2=5/3

x = 1.33

400

If a family travels 60 miles in 2 hours, how far can they travel in 6 hours? (set up a proportion)

180 miles