Pythagoras Flashcards
(18 cards)
What is the Pythagorean theorem formula?
a² + b² = c²
In the Pythagorean theorem, what does ‘c’ represent?
‘c’ represents the length of the hypotenuse.
If a = 3 and b = 4, what is the value of c?
c = 5
True or False: The Pythagorean theorem applies to all triangles.
False
What type of triangle does the Pythagorean theorem apply to?
Right triangle
If c = 10 and a = 6, what is the value of b?
b = 8
Which of the following is a correct application of the Pythagorean theorem? a = 5, b = 12, c = ?
c = 13
True or False: The Pythagorean theorem can be used in non-right triangles.
False
If a = 8 and c = 10, what is b?
b = 6
What is the relationship between the sides of a 30-60-90 triangle according to the Pythagorean theorem?
1 : √3 : 2
If a = 7 and b = 24, what is c?
c = 25
True or False: The Pythagorean theorem is only applicable in Euclidean geometry.
True
What do you call a triangle that has one angle greater than 90 degrees?
Obtuse triangle
If the lengths of the legs are equal, what type of right triangle is it?
Isosceles right triangle
If a = 5 and b = 12, what is c?
c = 13
In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?
12
What is the square of the hypotenuse if the legs of the triangle are 1 and √3?
4
If c = 13 and b = 12, what is a?
5
