without using set square or protacter construct
1. triangle A BC WITH AB = 5.5 CM ,
BC = 3.2 CM CA = 4.8 CM
2. DRAW LOCUS OF A POINT WHICH MOVES SO THAT IT IS ALWAYS A DISTANCE OF 2.5 CM FROM B.
3. DRAW LOCUS OF POINT SO THAT IT IS EQUIDISTANT FROM BC & CA .
4. MARK POINT OF INTERSECTION OF THE LOCI WITH P & MEASURE PC
1.
assuming you can set your compass to the proper distances,
Draw a line, mark points A and B 3.2cm apart
Using B as center, draw circle Cb of radius 4.8 cm
Using A as center, draw circle Ca of radius 5.5 cm
Point C is where Ca intersects Cb.
2. Draw a circle of radius 2.5, center at B.
3.
Construct the angle bisector of angle BCA
1. To construct triangle ABC without using a set square or protractor, you can use the following steps:
Step 1: Take a ruler and draw a line segment AB of length 5.5 cm.
Step 2: From point A, use the ruler to draw a line segment AC of length 4.8 cm. Make sure this line is not parallel to AB.
Step 3: From point B, use the ruler to draw a line segment BC of length 3.2 cm. The line segment BC should intersect the line segment AC at some point.
Step 4: Finally, connect the endpoints A and C with a straight line to complete the triangle ABC.
2. To draw the locus of a point that is always a distance of 2.5 cm from B, you can use the following steps:
Step 1: From point B, use a ruler to draw a circle with a radius of 2.5 cm.
Step 2: This circle will represent all the possible positions of the point that is always a distance of 2.5 cm from B.
3. To draw the locus of a point that is equidistant from BC and CA, you can use the following steps:
Step 1: Draw lines BC and CA on a paper.
Step 2: Take a compass and set its width to the length of BC.
Step 3: With the compass centered at point B, draw an arc that intersects BC at two points.
Step 4: Keeping the compass width the same, set the compass at point C and draw another arc that intersects CA at two points.
Step 5: The point of intersection of these two arcs is the locus of the point that is equidistant from BC and CA.
4. To mark the point of intersection of the loci and measure PC, follow these steps:
Step 1: Locate the point of intersection of the two loci drawn in step 2 and step 3.
Step 2: Label this point as P.
Step 3: Use a ruler to measure the distance between point P and point C. This distance, marked as PC, can be measured in centimeters using the ruler.