Putuq

Putuq (pilla t'asra).

Putuq, Pilla t'asra icha Trapisyu (kastilla simimanta: trapecio) nisqaqa iskay chimpa kaq chimpanasqa (chasllasqa) kaq chiruyuq kaq, wakin chiruntaq mana chimpanasqa kaptintaqmi.

Pilla t'asra
Hallka k'iti k'anchar	$A \, =\, \frac{a+c}{2} \cdot h$
Sayaynin	$h \, = \, b \cdot \sin\gamma = d \cdot \sin\delta$
Sayaynin	$h \, = \, \frac{2}{c-a} \sqrt{s (s-(c-a)) (s-b) (s-d)}$, mit $s \, = \, \frac{(c-a)+b+d}{2}$
Chiqalluwaqpa suni kaynin	$e \, = \, \sqrt{a^2 + b^2 - 2\,a\, b\, \cos \beta} = \sqrt{c^2 + d^2 - 2\,c\,d\, \cos \delta}$ $f \, = \, \sqrt{a^2 + d^2 - 2\,a\,d\,\cos\alpha} = \sqrt{b^2 + c^2 - 2\,b\,c\,\cos\gamma}$
Suni kayninkuna	$a,\,b,\,c,\,d$
Ukhu k'uchunkunap hatun kaynin	$\alpha,\,\beta,\,\gamma,\,\delta$
Iruru muyu / siwiq	$a+b+c+d$