- #1

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- Homework Statement
- Let the point P(2,8) be a point in xy-plane and line m: y = -0.75*x+3.25 be a line in the xy-plan. Using CAS, find The distance from a point P to a point B is 7 unites. Where the x coordinate of B is negative. Find the acute angle between PB and m. The distance PM, PC and PB form a triangle of area 20. The area of the formed triangle is 20. Find the coordinates of C.

- Relevant Equations
- y= mx+b and (x-a)^2+(y-b)^2=r^2

Let the point P(2,8) be a point in xy-plane and line m: y = -0.75*x+3.25 be a line in the xy-plan. The distance from a point P to a point B is 7 unites. Where the x coordinate of B is negative. Find the acute angle between PB and m.

To find B I then construct a circle of radius 7 with center C(2,8), and find that the coordinates of B to be (-4.92;6.94).

I use Geogebra, to find the acute angle to be 45.58 degrees.

My question if I need to find the coordinat C. Isn't the info that the area of the triangle is 20 redundant? Because I see from Geogebra that the coordinates for C must be (2.92; 1.06)

To find B I then construct a circle of radius 7 with center C(2,8), and find that the coordinates of B to be (-4.92;6.94).

I use Geogebra, to find the acute angle to be 45.58 degrees.

My question if I need to find the coordinat C. Isn't the info that the area of the triangle is 20 redundant? Because I see from Geogebra that the coordinates for C must be (2.92; 1.06)