using a ruler and a pair of compasses only. construct triangle.ABC in which angle BAC=45 °.Then |AB|=7cm.then |AC|=9cm.locate P into triangle ABC which is 5cm from A and B equidistant from B and C. find PB.
You are making a scale diagram : )
So if you use your compass and ruler you will be able to measure the length of PB : )
Questions and answers
please the construction is not there why?
To construct triangle ABC using a ruler and a pair of compasses, follow these steps:
1. Draw a line segment AB measuring 7 cm using a ruler.
2. At point A, set the width of your compass to 5 cm and draw an arc.
3. At point B, set the width of your compass to 9 cm and draw another arc intersecting the first arc you drew.
4. Label the point of intersection between the arcs as C.
5. Draw the line segments AC and BC using a ruler.
To locate point P and find PB:
1. From point A, measure a distance of 5 cm along line segment AB and mark this point as P using a ruler.
2. Using a compass, set the width to PB and place the center of the compass on point P.
3. Draw arcs intersecting line segments AB and AC.
4. Similarly, set the width to PC and place the center of the compass on point P.
5. Draw another arc intersecting line segments AB and BC.
6. The point of intersection between the two arcs is point B.
7. Measure the length of PB using a ruler.
Note: The construction described above is based on the given information and assumptions. Ensure to double-check the measurements and construction steps for accuracy.
All answers given was corret
Yes am interested
Draw line segment AB
Construct angle A (bisect a right angle).
Extend the side of A to 9 cm, and mark that point C.
Draw line segment BC.
Draw a circle of radius 5 with center A
Construct the ⊥ bisector of BC
P will lie on the ⊥ bisector of BC, where it intersects the circle centered at A, inside ABC.