1.1g Pythagorean Flashcards
Pythagorean Theorem is based on
areas
Pythagorean Theorem was developed in …
Egypt for the purpose of land surveying after flooding of the River Nile
Pythagorean Theorem
a2 + b2 = c2
“a” is …
a leg of a right triangle
“b” is …
another leg of a right triangle
“c” is …
the hypotenuse of a right triangle
Σ of angles in a right triangle is
180°
A right triangle gets its name from…
the right (90°) angle in it
Σ of non right angles of a right triangle is …
complementary… add to 90°
Pythagorean Triples are…
right triangles whose sides are even integers
Pythagorean primitives are…
Pythaogrean triples that cannot be reduced to smaller multiple integers. e.g. 3,4,5 is primitive, but 6,8,10 is not primitive
3 most common Pythagorean Triples…
3,4,5
5,12,13
8,15,17
3,4,5 angles
37°, 53°
5,12,13 angles
23°, 67°
8,15,17 angles
28°, 62°