Putuq (pilla t'asra).
Putuq , Pilla t'asra icha Inkapunku (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
=
a
+
c
2
⋅
h
{\displaystyle A\,=\,{\frac {a+c}{2}}\cdot h}
Sayaynin
h
=
b
⋅
sin
γ
=
d
⋅
sin
δ
{\displaystyle h\,=\,b\cdot \sin \gamma =d\cdot \sin \delta }
Sayaynin
h
=
2
c
−
a
s
(
s
−
(
c
−
a
)
)
(
s
−
b
)
(
s
−
d
)
{\displaystyle h\,=\,{\frac {2}{c-a}}{\sqrt {s(s-(c-a))(s-b)(s-d)}}}
, mit
s
=
(
c
−
a
)
+
b
+
d
2
{\displaystyle s\,=\,{\frac {(c-a)+b+d}{2}}}
Chiqalluwaqpa suni kaynin
e
=
a
2
+
b
2
−
2
a
b
cos
β
=
c
2
+
d
2
−
2
c
d
cos
δ
{\displaystyle e\,=\,{\sqrt {a^{2}+b^{2}-2\,a\,b\,\cos \beta }}={\sqrt {c^{2}+d^{2}-2\,c\,d\,\cos \delta }}}
f
=
a
2
+
d
2
−
2
a
d
cos
α
=
b
2
+
c
2
−
2
b
c
cos
γ
{\displaystyle 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
{\displaystyle a,\,b,\,c,\,d}
Ukhu k'uchunkunap hatun kaynin
α
,
β
,
γ
,
δ
{\displaystyle \alpha ,\,\beta ,\,\gamma ,\,\delta }
Iruru muyu / siwiq
a
+
b
+
c
+
d
{\displaystyle a+b+c+d}
Wakna inkapunku ( trapeze escalene)
Iskapasa inkapunku ( trapeze isoscely)
Chiqa inkapunku ( trapecio rectángulo)