Решение:
Угол:
α° = 2·arcsin
= 2·arcsin
= 81.54°
Угол:
β° = arccos
= 2·arccos
= 49.23°
Площадь:
S =
√4· b2 - a2
=
√4· 49.47722 - 64.6219782
=
√4· 2447.99331984 - 4176.0000406325
=
√9791.97327936 - 4176.0000406325
=
√5615.9732387275
= 1210.7
Высота :
h = √b2 - 0.25·a2
= √49.47722 - 0.25·64.6219782
= √2448 - 1044
= √1404
= 37.47
Радиус вписанной окружности:
r =
=
·
√2·49.4772-64.621978
2·49.4772+64.621978
=32.31·√0.2099
= 14.8
Радиус описанной окружности:
R =
=
49.47722
√4·49.47722 - 64.6219782
=
=
= 32.67
Периметр:
P = a + 2b
= 64.621978 + 2·49.4772
= 163.58