Using a pair of compasses, a ruler and a pencil, construct a triangle CDE in which DE =10cm, DC= 8cm and angle DE= 45 degree
Using a pencil, pair of compasses and our ruler, construct and shade the locus of points that lie inside triangle ABC, are more than 5cm from point B and closer to side AC than side AB. Use your drawing to determine which picture below best represents all such points.
To start with,
Construct a right angle.
Bisect it.
Measure off the lengths.
Label the points.
Then figure out what the heck angle "DE" is.
To construct triangle CDE, follow these step-by-step instructions:
1. Start by drawing a straight line segment using the ruler. Let's call this line segment DC, and make it 8cm long.
2. Place the compass on point D and set its width to 10cm. This will be the length of the side DE.
3. Draw an arc with the compass, starting from point D, to intersect the line segment DC. Let's call this point E.
4. With the same compass width, place the compass on point E and draw another arc to intersect the previously drawn arc. Let's call this point C.
5. Finally, use the ruler to draw a straight line connecting points C and D. This will be the side CD.
You have now successfully constructed triangle CDE, where DE = 10cm, DC = 8cm, and angle DE = 45 degrees.
To construct a triangle CDE with specific side lengths and angle measurements using a pair of compasses, a ruler, and a pencil, follow these steps:
Step 1: Draw a line segment CD with a length of 8 cm using a ruler. Label the endpoints as C and D.
Step 2: Place the compass on point D and adjust its width to 10 cm.
Step 3: Keeping the compass width fixed, draw an arc from point C intersecting the line segment CD. Label this point of intersection as E.
Step 4: With the same compass width, place the compass on point E and draw another arc that intersects the previously drawn arc at some point. Label this point as F.
Step 5: Using a ruler, draw a line segment from point C to point F, passing through point E. This line will be your third side, EF, of the triangle CDE.
Step 6: Finally, erase the extra lines and arcs to leave only triangle CDE.
Congratulations! You have successfully constructed triangle CDE with side lengths DE = 10 cm, DC = 8 cm, and angle DE = 45 degrees.