Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

convex quadrilateral - Ichi ndi chithunzi cha geometric chopezedwa mwa kulumikiza mfundo zinayi pa ndege yomwe sayenera kugona pamzere umodzi wowongoka. Pamenepa, mbali zomwe zimapangidwira motere siziyenera kudutsa.

Timasangalala

Area formula

Pamodzi ndi diagonals ndi ngodya pakati pawo

Chigawo (S) ya convex quadrilateral ndi yofanana ndi sekondi imodzi (theka) ya chopangidwa ndi ma diagonals ake ndi sine wa ngodya pakati pawo.

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

Pambali zinayi (chilinganizo cha Brahmagupta)

Kuti mugwiritse ntchito ndondomekoyi, muyenera kudziwa kutalika kwa mbali zonse za chiwerengerocho. Ziyeneranso kufotokozera mozungulira kuzungulira quadrilateral.

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

p - semi-perimeter, yowerengedwa motere:

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

Pafupi ndi utali wa bwalo lolembedwa ndi mbali

Ngati bwalo likhoza kulembedwa mu quadrilateral, dera lake likhoza kuwerengedwa pogwiritsa ntchito ndondomekoyi:

S = p ⋅ r

Kupeza dera la convex quadrilateral: chilinganizo ndi chitsanzo

r ndi utali wa bwalo.

Chitsanzo cha vuto

Pezani dera la convex quadrilateral ngati ma diagonal ali 5 cm ndi 9 cm ndipo ngodya pakati pawo ndi 30 °.

Kusankha:

Timalowetsa zinthu zomwe u1bu2bzodziwika kwa ife m'njirayo ndikupeza: S u5d 9/30 * 11,25 cm * XNUMX cm * sin XNUMX ° uXNUMXd XNUMX cm2.

Siyani Mumakonda