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-x-25. What is the missing side length x?

24

300

What is the Pythagorean Theorem?

a2+b2=c2

400

Does the Pythagorean Theorem work for numbers that have decimals?

Yes

500

Does the Pythagorean Theorem work for all triangles? Explain your answer for all 500 points

No. Only works for right triangles

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?

4

200

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

10

500

CHOOSE ALL THAT APPLY All 45-45-90 triangles are: - acute triangles - right triangles - obtuse triangles - equilateral - isosceles - scalene

Right Triangle Isosceles

30-60-90 Right Triangles

100

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

4

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?

4√3

300

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

14

400

In a 30-60-90 triangle, if the length of the short leg is 1200, what is the length of the hypotenuse?

2400

500

CHOOSE ALL THAT APPLY All 30-60-90 triangles are: - acute triangles - right triangles - obtuse triangles - equilateral - isosceles - scalene

Right Triangles Scalene Triangles

Facts

100

In a 45-45-90 right triangle what process can you do to find the sides when given just the hypotenuse?

Divide the hypotenuse by the square root of two.

200

Can a triangle be both a 30-60-90 right triangle and an isosceles triangle?

No

300

Can 45-45-90 triangles be scalene? Why?

No. 45-45-90 triangles have two legs of the same length, scalene means all three sides must be different lengths.

400

What are vertical angles?

**Must mention congruence**

500

The sum of the interior angles of right triangles add up to 180 degrees. What is the sum of the interior angles of an obtuse triangle?

180 degrees

MYSTERY!! (0_0)

100

Can you have an angle bigger than 90 degrees in a right triangle?

No

200

What is a midsegment?

**Must mention connecting/joining midpoints**

300

Two adjacent angles that add up to 180 degrees are called a(n) ___________ pair.

linear

400

A square has a length of 4 and width of 4. Which is greater? Area or Perimeter?

Same. 16.

500

Name all the people in your group.

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