В прямоугольном треугольнике со сторонами: a = 0.01863, b = 0.02351, с = 0.03 высота равна h = 0.0146
Ответ:
a=0.01863
b=0.02351
c=0.03
α°=38.39°
β°=51.61°
S = 0.000219
h=0.0146
r = 0.00607
R = 0.015
P = 0.07214
Решение:
Катет:
a = c·sin(α°)
= 0.03·sin(38.39°)
= 0.03·0.621
= 0.01863
Катет:
b = c·cos(α°)
= 0.03·cos(38.39°)
= 0.03·0.7838
= 0.02351
Угол:
β° = 90°-α°
= 90°-38.39°
= 51.61°
Радиус описанной окружности:
R =
c
2
=
0.03
2
= 0.015
Высота :
h =
ab
c
=
0.01863·0.02351
0.03
= 0.0146
или:
h = b·sin(α°)
= 0.02351·sin(38.39°)
= 0.02351·0.621
= 0.0146
или:
h = b·cos(β°)
= 0.02351·cos(51.61°)
= 0.02351·0.621
= 0.0146
или:
h = a·cos(α°)
= 0.01863·cos(38.39°)
= 0.01863·0.7838
= 0.0146
или:
h = a·sin(β°)
= 0.01863·sin(51.61°)
= 0.01863·0.7838
= 0.0146
Площадь:
S =
ab
2
=
0.01863·0.02351
2
= 0.000219
Радиус вписанной окружности:
r =
a+b-c
2
=
0.01863+0.02351-0.03
2
= 0.00607
Периметр:
P = a+b+c
= 0.01863+0.02351+0.03
= 0.07214