Pythagorean
45-45-90 Right Triangles
30-60-90 Right Triangles
Facts
100
Does the Pythagorean Theorem work for all types of triangles? If not, only which type of triangles?
No. Only works for right triangles or triangles with 90 degree angles
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
100
If you cut an equilateral triangle in half, what special right triangle do you get?
A 30-60-90 triangle
100
Can you have an angle bigger than 90 degrees in a right triangle?
No
200
What is the Pythagorean Theorem?
200
What is the length of the hypotenuse of a 45-45-90 triangle that has a leg of 1?
√2 or 1√2
200
In a 30-60-90 triangle the hypotenuse has a length of 8 feet. What is the length of the longer shorter leg of the triangle?
Shorter leg: 4
Longer leg: 4√3
200
Can a triangle be both a 30-60-90 right triangle and an isosceles triangle?
No
300
The hypotenuse is located ______________
Across or in front of the 90 degree angle.
300
What are the measure of the legs of a 45-45-90 triangle with a hypotenuse length of 10√2?
10
300
What is the length of the hypotenuse of a 30-60-90 triangle with a longer leg that measures 7√3?
14
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
Find the missing side length using Pythagorean Theorem
14.31 inches
400
Find the missing side lengths:
n = 8
m= 8√2
400
In a 30-60-90 triangle, if the length of the short leg is 1200, what is the length of the hypotenuse?
2400
400
The length of the hypotenuse of a 30-60-90 triangle is 10√2. What are the lengths of the short leg and the long leg?
Short leg: 5√2
Long leg: 5√6
500
Find the missing side length using Pythagorean Theorem.
9 yd
500
CHOOSE ALL THAT APPLY:
All 45-45-90 triangles are:
a. acute triangles b. right triangles c. obtuse triangles d. equilateral e. isosceles f. scalene
b. Right Triangle
e. Isosceles
500
CHOOSE ALL THAT APPLY:
All 30-60-90 triangles are:
a. acute triangles b. right triangles c. obtuse triangles d. equilateral e. isosceles f. scalene
b. Right Triangles
f. Scalene
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 equilateral triangle?
180 degrees