The question on my homework it to write a paragraph of what makes a 30-60-90 & 45-45-90 Triangle true. Please help Due TOMORRO!!
2007-09-19 12:07:09 · 9 answers · asked by Mike T 2 in Science & Mathematics ➔ Mathematics
30° / 60° / 90° Triangle
Let AC = hypotenuse
AB be vertical
CB be horizontal
Angle ABC = 90°
Angle ACB = 60 °
Angle CAB = 30°
Sides are then in ratio such that :-
AC = 2
AB = √3
BC = 1
From this sin 60° , cos 60° and tan 60° and
sin 30° , cos 30° and tan 30° can be readily found.
A similar approach is used for a 45°, 45°, 90° triangle.
In this case sides are in ratio of 1 , 1 √2
sin 45° , cos 45° , tan 45° can be found.
2007-09-23 07:15:52 · answer #1 · answered by Como 7 · 1⤊ 0⤋
If the hypotenuse is twice the shorter leg you will have a 30-60-90 triangle. The longer leg will be = shorter leg*sqrt(3).
If the two legs of a right triangle are equal to each other, then the triangle wil be a 45-45-90 triangle. If the legs are =, the triangle is isosceles and so the base angles are = and so each = 1/2 90 = 45 degrees. If a leg = hypotenuse*sqrt(2)/2, then you will have a 45-45-90 triangle
2007-09-19 12:23:58 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
The angles add up to 180 degrees and the pythagorian theorem stills holds(a^2+b^2=c^2 or leg^2+leg^2=hypotnuse^2)
A 45-45-90 trianlge has sides with a ratio of 1-1- square root of 2. A 30-60-90 trianlgle has sides with ratio of 1, square root of 3, 2.
2007-09-19 12:16:36 · answer #3 · answered by Claudia 2 · 0⤊ 0⤋
the rule is
a + b > or = c
a + c > c
b + c > a
since
a. 30 + 60 = 90
30 + 90 > 60
60 + 90 > 30
b. 45 + 45 = 90
45 + 90 > 45
if a + b < 90 or a + c < 90 or b + c < 90 the triangle won't be connected.
2007-09-19 12:14:21 · answer #4 · answered by ZophiE 2 · 0⤊ 2⤋
What makes a triangle TRUE? I don't get it. I could maybe see a proof on why the sides are always in their special ratios, but that's about it.
2007-09-19 12:10:59 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Cheeseburger
2016-05-18 22:31:00 · answer #6 · answered by Anonymous · 0⤊ 0⤋
In each case the sum of all the angles is 180 Degrees.
2007-09-19 12:26:39 · answer #7 · answered by Richard A 2 · 0⤊ 0⤋
I would say because the angles add up to 180 degrees as a true triangle must.
2007-09-19 12:11:26 · answer #8 · answered by Rich Z 7 · 0⤊ 2⤋
Depending on what grade level you are, I think you should try using either trigonometry, for angle-sideratios, or the pythagorean theorem. I'm not entirely sure by what you mean by making it 'True', but using one of those two should work for you.
2007-09-19 12:14:09 · answer #9 · answered by Anonymous · 0⤊ 0⤋