About 45-45-90
What does one of the base angles equal?
45
If the legs of a 45-45-90 triangle are both 8, what does the hypotenuse equal?
8 (radical 2)
30-60-90
If the hypotenuse of a triangle is 14, what is the length of the shorter leg?
7 :)
What do both of the base angles equal IF ADDED TOGETHER?
90
True or false:
The legs are NOT congruent
False
If the hypotenuse of a 45-45-90 triangle is 15, what does one of the legs equal?
7.5 (radical 2)
If a diagonal goes through a square, what type of triangle is made?
45-45-90
If the hypotenuse is 8, what is the length of the longer leg?
4 radical 3
True or false:
Is a 30-60-90 triangle an equilateral triangle?
False, it's scalene.
True or false:
Are 45-45-90 triangles isosceles triangles?
True
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
What type(s) of special right triangle(s) have combined base angle measures of 90 degrees?
Both 45-45-90 and 30-60-90
Find the hypotenuse of a 30-60-90 triangle with a longer leg of 5 radical 3
10
? |\ 2x |_\ x
What does the ? equal?
x (radical 3)
x |\ x (radical 2) |_\ ?
What does the ? equal?
x
Find the area of a 45-45-90 triangle if the hypotenuse is 9 radical 2
40.5 units squared
What type of triangle would be 1/12 of a hexagon? (Hint: 1/6 of a hexagon is an equilateral triangle)
30-60-90
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
What is the relationship between the shorter leg and the hypotenuse?
The hypotenuse is 2 times the shorter leg.
What is the relationship between the hypotenuse and a leg?
The hypotenuse is (radical of 2) times a leg.
Find the area of a 45-45-90 triangle if the hypotenuse is 8
16 units squared
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
Find the area of an equilateral triangle if each side length is 4. Round to the nearest hundredth.
6.93 inches squared
What is the relationship between the longer leg and the hypotenuse?
Hypotenuse is 2x, longer leg is radical 3 x