9.4 Special Right Triangles Flashcards
these triangles happen so often in math that we call them…
45-45-90 degree triangles
in an isosceles right triangle, both of the active angles would be…by…
would be 45 degrees by Base Angles Thm AND Triangle Sum Thm
ALL 45-45-90 degree triangles are…by…
SIMILAR by AA ~ Post
in a 45-45-90 degree triangles, the hypotenuse is…
That is, the side length ratio of leg:leg:hypotenuse is…
*or, more usefully, we can write this ratio as…
…root 2 times as long as each leg.
…1: 1: root 2
*…m: m: m root 2
if a right triangle has a 30 degree angle, the OTHER acute angle would have to be…by…
have to be 60 degrees by Triangle Sum Thm
these triangles happen so often in math that we call them…
30-60-90 degree triangles
ALL 30-60-90 degree triangles are…by…
SIMILAR by AA ~ Post
in a 30-60-90 degree triangle, the hypotenuse is…, and the longer leg is…
that is, the side length ratios of short leg: long leg: hypotenuse is…
*or, more usefully, write this ratio as…
…twice as long as the shorter leg
…root 3 times as long as the shorter leg
…1: root 3: 2
*…m: m root 3: 2m
