Lakkaddaa Rogsadee ilaali

'''Rog-sadee''' jechuun danaa [[Ji'oomeetirii|ji’oomeetirii]] sarara qajeelaa sadii fi guttiyyoo(vertex) sadii irraa hojjetame dha. 

== Shallaggii naannoo roga sadii ==
[[File:Triangle_illustration.svg|right|thumb|394x394px| Rog-sadee]]
{| class="wikitable"
![[File:Triangle_with_notations_2.svg|left|thumb| Dheerinni cinaachaa roga sadii a, b fi c yoo ta’u kofoon α, β fi γ dha.]]
| : 1.1. <math>s= a+b+c</math>

: <math>\frac{a}{\sin \alpha} = \frac{b}{\sin \beta} = \frac{c}{\sin \gamma}.</math>
: <math>c^2\ = a^2 + b^2 - 2ab\cos(\gamma)</math>
: <math>b^2\ = a^2 + c^2 - 2ac\cos(\beta)</math>
: <math>a^2\ = b^2 + c^2 - 2bc\cos(\alpha)</math>

: <math>\alpha=\arccos\left(\frac{b^2+c^2-a^2}{2bc}\right)</math>
: <math>\beta=\arccos\left(\frac{a^2+c^2-b^2}{2ac}\right)</math>
: <math>\gamma=\arccos\left(\frac{a^2+b^2-c^2}{2ab}\right)</math>
|}

== Shallaggii bal’ina roga saddeetii ==
{| class="wikitable"
![[File:Triangle.TrigArea.svg|left|frame| <math>\mathrm{Area}=\frac{1}{2}bh</math>]]
| : 1.1. <math>\mathrm{Area}=\frac{1}{2}bh</math> Bal’inni bal’ina, b cinaacha kamiyyuu roga saddeetii agarsiisa, h immoo olka’iinsa cinaacha kana irraa gara golee faallaatti [[ስትክክል|perpendikulaariin]] kaafame agarsiisa.

: <math>Area = \frac{1}{2}ab\sin \gamma = \frac{1}{2}bc\sin \alpha = \frac{1}{2}ca\sin \beta</math>
: <math>Area = \frac{1}{2}ab\sin (\alpha+\beta) = \frac{1}{2}bc\sin (\beta+\gamma) = \frac{1}{2}ca\sin (\gamma+\alpha).</math>
: <math>Area = \frac {b^{2}(sin \alpha)(sin (\alpha + \beta))}{2sin \beta}</math>
: <math>Area = \frac{a^{2}}{2(cot \beta + \cot \gamma)} = \frac{a^{2} (sin \beta)(sin \gamma)}{2sin(\beta + \gamma)}</math>
: <math>Area = \sqrt{s(s-a)(s-b)(s-c)}</math>

As <math>s= \frac{a+b+c}{2}</math> Mee guddinni kofa 3 walakkaa naannoo ta’uu isaa haa hubannu

: <math> Area = \frac{1}{4} \sqrt{(a^2+b^2+c^2)^2-2(a^4+b^4+c^4)}</math>
: <math> Area = \frac{1}{4} \sqrt{2(a^2b^2+a^2c^2+b^2c^2)-(a^4+b^4+c^4)}</math>
: <math> Area = \frac{1}{4} \sqrt{(a+b-c) (a-b+c) (-a+b+c) (a+b+c)}.</math>
|}

== Gosoota Rogsadee ==
<gallery>
File:Triangle.Equilateral.svg|Rogsadee rogqixaa
File:Triangle.Isosceles.svg|Rog-sadee lamqixaa(isosceles)
File:Triangle.Scalene.svg|Rog-sadee mitqixaa
</gallery>Rogsadeen kofa sirri kan ballinni kofa saa 90 Aankofa(digrii)

Rogsadeen kofqoree kan ballinni kofa isaa >90 Aankofa(digrii)

Rogsadeen kofa jufunfula kan ballinni kofa saa <90 Aankofa(digrii)
{| style="margin:1em 1.6em; text-align: center"
|[[File:Triangle.Right.svg|alt=Right triangle|Sadarkaa mirgaa]]
|[[File:Triangle.Obtuse.svg|alt=Obtuse triangle|Sadarkaa Sadarkaa Tiraa'ool]]
|[[File:Triangle.Acute.svg|alt=Acute triangle|Sadarkaa Sadarkaa Sa'aatii]]
|-
|Rogsadee kofasirri
|Rogsadee jufunfula (Obtuse)
|Rogsadee kofqoree(acute)
|-
|
| colspan="2" |<math>\quad \underbrace{ \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}_{}</math>
|-
|
| colspan="2" |Habalakaa (Obliikii)
|}
[[Category:Herreega]]