Qardhaas

Qardhaas Waa mid kamid ah joometeriya afar xagal leh, afartiisa dhinacna ay isla egyihiiin, waxa uuna u egyahay laba saddax-xagal oo kala jeeda oo hal sal ka dhaxeeya

Qardhaas
Laba Qardhaas
Dhinacyada iyo Geesaha	4
sumad shalafli	{ } + { }
Sumada kokistar
Wandharan	D2 (*2)
Bed	${\tfrac {pq}{2}}$
Xagasha gudaha (Darajada)	Afar xagal
Barbarrole	Laydi
Astaamaha	Qaabtuureed leh

Bedka

Bedka ama Badka Qardhaas waxaa loo xisaabi karaa afar qaab:

1. Barbaroolayaasha oo dhan, Waxa ay ka samaysmaan Salka $a$, Waxa ay la jaan qaadeeysaa dhinacyada iyo jooga $h$:

   $A=a\cdot h,$

2. Adigoo dhexroorka dheer ku dhifta $d_{1}$ Dhexroorka gaaban $d_{2}$ Oo aad markaas uqaybiso

   ${\frac {{\overline {AC}}\cdot {\overline {SB}}}{2}}={\frac {{\overline {AC}}\cdot {\overline {BD}}/2}{2}}={\frac {{\overline {AC}}\cdot {\overline {BD}}}{4}}$

   Adigoo laba laaba si aan u helno

   $A={{d_{1}\cdot d_{2}} \over {2}}={\frac {{\overline {AC}}\cdot {\overline {BD}}}{2}},$

3. Adigoo ku dhufanaya goobada $p$ Gacanka $r$ Wareegeeda

   $4\cdot {\frac {a\cdot r}{2}}=2\cdot a\cdot r=p\cdot r$.

   $A=p\cdot r,$

4. Ugudamayntii adigoo uxisaaba sida afar xafal $a$ Xaglaha gudaha adigoo isku dhufta

   ${a^{2}\cdot \sin \alpha }=a\cdot (a\cdot \sin \alpha )=a\cdot h$

   $A={a^{2}\cdot \sin \alpha }={a^{2}\cdot \sin \beta }.$