using a ruler and a pair of compasses only construct triangle ABC such that|AC|=8centimeter,|AB|=6centimeter and |DC|=5centimeter
Cannot construct triangle on these posts.
draw AC of length 8
with A as center draw a circle of radius 6
with C as center draw a circle of radius 5
where the circles intersect is B
To construct triangle ABC with |AC| = 8 centimeters, |AB| = 6 centimeters, and |DC| = 5 centimeters using a ruler and a pair of compasses only, follow these steps:
Step 1: Draw a line segment AB of length 6 centimeters using the ruler.
Step 2: Place the compass at point A and set the width to 8 centimeters. Draw an arc that intersects line AB at point C.
Step 3: Place the compass at point B and set the width to 5 centimeters. Draw an arc that intersects line AB at point D.
Step 4: Draw a line segment CD to connect points C and D.
Step 5: Extend the line segment CD to intersect the arc drawn in step 2. Label this point of intersection as E.
Step 6: Draw a line segment AE to connect points A and E.
Step 7: Draw a line segment BE to connect points B and E.
Triangle ABC is now constructed, where |AC| = 8 centimeters, |AB| = 6 centimeters, and |DC| = 5 centimeters.
To construct triangle ABC with |AC| = 8 centimeters, |AB| = 6 centimeters, and |DC| = 5 centimeters using only a ruler and a pair of compasses, follow these steps:
1. Draw a line segment AB of length 6 centimeters using the ruler.
2. Place the compasses' needle on point A, open the compasses to a length of 8 centimeters, and draw an arc that intersects the line AB.
3. Without changing the compasses' width, place the needle on point B and draw another arc that intersects the first arc drawn.
4. Label the point of intersection between the two arcs as C.
5. Use the ruler to draw a line segment from point A to point C.
6. Use the ruler to draw a line segment from point C to point B.
Now you have successfully constructed triangle ABC, where |AC| = 8 centimeters, |AB| = 6 centimeters, and |DC| = 5 centimeters.
Note: The point D was not part of the initial construction, so you may need to clarify the desired position of point D if it is important to include it.