Решение:
Сторона:
b = √0.25·a2 + h2
= √0.25·6.1742 + 3.0872
= √9.53 + 9.53
= √19.06
= 4.366
Угол:
α° = 2·arcsin
= 2·arcsin
= 89.99°
Угол:
β° = arccos
= 2·arccos
= 45°
Площадь:
S =
√4· b2 - a2
=
√4· 4.3662 - 6.1742
=
√4· 19.061956 - 38.118276
=
√76.247824 - 38.118276
=
√38.129548
= 9.531
Радиус вписанной окружности:
r =
=
·
√2·4.366-6.174
2·4.366+6.174
=3.087·√0.1716
= 1.279
Радиус описанной окружности:
R =
=
=
=
= 3.087
Периметр:
P = a + 2b
= 6.174 + 2·4.366
= 14.91