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nana55959
05.02.2021 •
Mathematics
Find x in the follow triangle.
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Ответ:
Fixed
x=5.66
Step-by-step explanation:
This is an around about way since it's not a right triangle.
lets call the segment line that bisects the lower right angle= M.
The two triangles created would be similar. So:
4/6=M/(x+3)
4x+12=6M
M=(4x+12)/6
and
(x+3)/(x+4)=M/6
(6x+18)=Mx+4M
M=(6x+18)/(x+4)
since M=M
(4x+12/6=(6x+18)/(x+4)
(x+4)(4x+12)=6(6x+18)
4x^2+12x+16x+48=36x+108
4x^2+28x+48=36x+108
4x^-12x-60=0
x^2-3x-15=0
Factor
(x+2.65)(x-5.66)=0
x=5.66
Ответ:
7.275/9.7 = 7275/9700 = 1455/1940 = 291/388
291/388