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Alborosie
3 years ago
7

Anyone please help me?

Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

Hi!

This is an equilateral triangle. Meaning all sides equal the same.

A triangle's angles add up to 180.

60+60+60=180

Angle 2=60 degrees

-Seth

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A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
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Answer:

37=5x-2y,\,1=5x-2y

Step-by-step explanation:

If (x_1,y_1),\,(x_2,y_2),\,(x_3,y_3) are coordinates of a triangle then area of a triangle is equal to \frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

Let point P be (x,y)

Put (x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)

Area of a triangle = \frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|

=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|

Also,

Area of a triangle = 9 square units

9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|

±18 = -19 + 5x - 2y

18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y

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