Construct a triangle PQR with base

PQ = 8.4 cm , angel P = 45 degree and
PR - QR = 2.8 cm ??

see construction #2 at

http://www.ask-math.com/constructing-triangles.html

To construct triangle PQR with the given information, follow these steps:

1. Start by drawing a line segment of length 8.4 cm. Label the endpoints as P and Q.

2. To construct an angle of 45 degrees at point P, place the compass at point P and draw an arc that intersects the line PQ. Label the intersection point as R.

3. With the same compass opening, place the compass at point R and draw an arc that intersects the line PQ. Label the intersection point as S.

4. Using a ruler, draw a line segment from point R to point S. This line segment should be 2.8 cm long. Label the endpoint of this line segment as Q.

5. Finally, connect points P and Q to complete triangle PQR.

Now, you have successfully constructed triangle PQR with the given requirements.

To construct triangle PQR, follow these steps:

1. Start by drawing a line segment PQ. This will be the base of the triangle and should measure 8.4 cm.
2. At point P, draw a ray at an angle of 45 degrees. This will be the side PR.
3. To determine the length of PR, measure 2.8 cm from point P along the ray and mark it as point R.
4. Connect point R to point Q to complete the triangle. This line segment QR will also measure 2.8 cm, as given in the problem.

Make sure to use a ruler and a protractor to ensure accurate measurements and angles.