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primena pitagorine teoreme
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pitagorina teorema glasi:
c
2
=
c^2 =
c
2
=
a
2
+
a^2 +
a
2
+
b
2
b^2
b
2
površina pravouglog trougla je:
a
⋅
b
2
\frac{a \cdot b}{2}
2
a
⋅
b
poluprečnik opisane kružnice (ro) pravouglog trougla je:
c
2
\frac{c}{2}
2
c
dijagonala pravougaonika se izraćunava kao:
d
2
=
d^2 =
d
2
=
a
2
+
a^2 +
a
2
+
b
2
b^2
b
2
poluprečnik opisane kružnice (ro) pravouganika je:
d
2
\frac{d}{2}
2
d
površina pravouganika je:
a
⋅
b
a\cdot b
a
⋅
b
dijagonala kvadrata se izračunava kao:
d
2
=
d^2 =
d
2
=
a
2
+
a^2 +
a
2
+
a
2
a^2
a
2
površina kvadrata je:
a
2
a^2
a
2
dijagonala kvadrata se isto može izračunati kao:
d
=
d=
d
=
a
2
a\sqrt{2}
a
2
poluprečnik opisane kružnice (ro) kvadrata je:
d
2
\frac{d}{2}
2
d
poluprečnik upisane kružnice (ru) kvadrata je:
a
2
\frac{a}{2}
2
a
stranica b jednakokrakog trougla se izračunava kao:
b
2
=
b^2 =
b
2
=
(
a
2
)
2
+
(\frac{a}{2})^2 +
(
2
a
)
2
+
h
a
2
ha^2
h
a
2
površina jednakokrakog trougla je:
a
⋅
h
a
2
\frac{a\cdot ha}{2}
2
a
⋅
ha
površina jednakostraničnog trougla je:
a
2
3
4
\frac{a^{2}\sqrt{3}}{4}
4
a
2
3
visina jednakostraničnog trougla je:
a
3
2
\frac{a\sqrt{3}}{2}
2
a
3
poluprečnik upisane kružnice (ru) jednakostraničnog trougla je:
a
3
6
\frac{a\sqrt{3}}{6}
6
a
3
poluprečnik opisane kružnice (ro) jednakostraničnog trougla je:
a
3
3
\frac{a\sqrt{3}}{3}
3
a
3
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