ABC = 34, AC = 65 BC = 93. , AM = 20. .
, . . . 4.
34, 65 93 - . ? (. ) 93 ( ), 34 65 . , , 34 + 65 > 93. .
, , .
? - 20 (20 - ). , . , , .
, .
, , . . .
.
I.
,
1 2 ( > ).
.
S
Δ =
, , , b, -
( ). = 0,5(34 + 65 + 93) = 96, S
Δ =
= 744.
S
Δ = 0,5 ⋅ . = 2S
Δ/BC = 2 ⋅ 744/93 = 16. = 20, > . =
= 30.
(
1 2)
1 2.
1 =
= 12,
1 = -
1 = 30 - 12 = 18. S
Δ1 = 0,5B
1⋅AH = 144.
2 =
1 = 12,
2 = 30 + 12 = 42. S
Δ2 = 0,5B
2⋅AH = 336.
: 144 336.
, , . , , .
, , . .
II.
, .
, (93; 0). (x; y)
1156 - 186x + 8649 = 4225,
-182x = -5580,
x = 30.
2 + y
2 = 1156, y
2 = 1156 - 900, y
2 = 256, y
1 = 16,
2 = -16. , y = 16. , (30; 16). 16 - .
= 20, 20 (y = 0).
( - 30)
2 + 256 = 400, ( - 30)
2 = 144, - 30 = -12 - 30 = 12.
= 18 = 42. (18; 0) (42; 0).
16, 18 42. 0,5⋅18⋅16 = 144 0,5⋅42⋅16 = 336.
: 144 336.
, , . "" .
, . , .>
III.
.
.
.
2 = ... .
.
cos∠ sin∠B.
S = 0,5⋅bsin∠B.
.
ABC = 17, AC = 25 BC = 28. , AM =
. .