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ykluhredd
18.03.2021 •
Mathematics
Solve similar triangles
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Ответ:
x = 6
Step-by-step explanation:
the smaller triangle is 3 times smaller than the big one
Ответ:
Step-by-step explanation:
Coordinates of points A and C are (-8, 6) and (2, 5).
If a point B intersects the segment AB in the ratio of 2 : 5
Then coordinates of the point B will be,
x =![\frac{mx_2+nx_1}{m+n}](/tpl/images/0714/6078/c7259.png)
and y =![\frac{my_2+ny_1}{m+n}](/tpl/images/0714/6078/930b3.png)
where
and
are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.
For the coordinates of point B,
x =![\frac{2\times 2+(-8)\times 5}{2+5}](/tpl/images/0714/6078/dac63.png)
=![-\frac{36}{7}](/tpl/images/0714/6078/576c4.png)
y =![\frac{2\times 5+5\times 6}{2+5}](/tpl/images/0714/6078/4ba57.png)
=![\frac{40}{7}](/tpl/images/0714/6078/e02e9.png)
Therefore, coordinates of pint B will be,