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Pythagorean Theorem
45-45-90 Triangles
Got Ratios?
30-60-90 Triangles
Grab Bag
100
This is the formula to verify if a triangle is a right triangle.
What is A squared + B squared= C squared?
100
In a 45-45-90 triangle, this side of the triangle is square root two times as long as each leg.
What is the hypotenuse?
100
These are the 3 basic trigonometric ratios.
What are sine, cosine, and tangent?
100
In a 30-60-90 triangle, the longer leg is this many times as long as the shorter leg.
What is square root 3?
100
To solve a right triangle you will need to determine the measures of all 3 sides and all 3 of these...
What are the angles?
200
Find the hypotenuse of the triangle if the legs have lengths of 3 and 4.
What is 5?
200
These are the length of the legs of a 45-45-90 triangle if the hypotenuse is 9.
What is 9 times the square root of two over two?
200
This is the ratio for the legs of a triangle if you look at the SINE of an angle.
What is opposite leg over hypotenuse?
200
In a 30-60-90 triangle, this leg is half the hypotenuse.
What is the shortest leg?
200
Sine, Cosine, and Tangent work only for these kinds of triangles.
What are right triangles?
300
The integers 9, 40, and 41 form this.
What is a Pythagorean triple?
300
This is the length of the diagonal of a square if the sides of the square are 3 inches.
What is 3 times the square root of two?
300
This is the ratio for the legs of a triangle if you look at the TANGENT of an angle.
What is opposite over adjacent?
300
If the side length of an equilateral triangle is 5 cm., the length of the altitude is this.
What is 2.5 times the square root of 3 centimeters. (4.3 cm.)
300
A set of 3 positive integers that satisfy the equation A squared + B squared= C squared is called this.
What is a Pythagorean triple?
400
The missing LEG of the right triangle when the sides are 8 and 20. Give your answer as a decimal.
What is 18.3?
400
This is the length of the hypotenuse of a 45-45-90 triangle if the legs have a length of 5 root 2.
What is 10?
400
In a right triangle ABC, AB =6 AC=8 and BC=4. What would the ratios be if you wanted to find out the sine of angle C?
What is 6/8?
400
This is the length of the shorter leg in a 30-60-90 triangle if the longer leg has a length of 8.
What is 8 times the square root of three over 3?
400
These are two special right triangles.
What is 45-45-90 and 30-60-90?
500
This is the missing LEG of a right triangle if the other sides are 17.5 and 10.5.
What is 14?
500
If the diagonal of a square is 26 inches, then the length of the sides is this.
What is 18.4 inches?
500
In a 45-45-90 triangle, this is the length of the legs if the hypotenuse is 12.
What is 6 times the square root of 2?
500
In a 30-60-90 triangle, this is the measure of the hypotenuse if the longer leg is the square root of 9.
What is 2 root 3?
500
This line drawn to the hypotenuse of a right triangle can split the triangle into 2 similar right triangles.
What is an altitude?