Leo is constructing a tangent line from point Q to circle P. What is his next step? circle P and point Q on the outside of circl
e P, a segment is created from points P and Q, a set of arcs are created from point P above and below segment PQ that are greater than half the distance of segment PQ, another set of arcs are created from point Q above and below segment PQ that are greater than half the distance of segment PQ, the intersections of the created arcs are connected with a line creating point R on segment PQ Construct a circle from point Q with the radius PR. Construct the perpendicular bisector of segment PQ. Construct a circle from point R with the radius RP. Construct the perpendicular bisector of segment RQ.
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1. Draw an accurate picture of the triangle in
the coordinate axes, as shown in the attached picture.<span>
<span>2. Circumscribe a rectangle about the triangle, as shown in
the picture. The coordinates of the points M, N, T are easily identifiable as shown in the
picture.</span>
<span>3. The area of the triangle ABC is The area of
the rectangle - Area 1- Area 2- Area 3.</span>
Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
<span>Area 3 = 1/2( 3*7)=21/2</span>
<span>Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)</span>
<span>Area rectangle= 7*7=49 (units squared)</span>
<span>Answer: Area of triangle is 20 units squared.</span></span>
