using a ruler and a pair of compass only. Construct ABC such that angle ABC=90°,AB=5cm and BC=6cm.Measure AC
you can construct a right angle by constructing a perpendicular bisector.
Or, google will show you many other ways.
Then just measure your distances.
Use ruler and a pair of compass only to construct triangle ABC in wh /AB/ =7.5cm /BC/=6cm and /ABC=45°
Construct∆ABC such that<ABC=90,|AB|=5cm and |BC|=6cm.Measure |AC|.
To construct triangle ABC using only a ruler and a pair of compass, follow these steps:
1. Draw a line segment AB of length 5 cm using the ruler.
2. Place the compass on point A, open it to a reasonable width, and draw an arc that intersects line AB. Label this intersection point as C.
3. Without changing the compass width, place the compass on point C, and draw an arc that intersects the previously drawn arc. Label this intersection point as D.
4. Using the ruler, draw a line segment CD.
5. Place the compass on point B, open it to a reasonable width, and draw an arc that intersects line BC. Label this intersection point as E.
6. Without changing the compass width, place the compass on point E, and draw an arc that intersects the previously drawn arc. Label this intersection point as F.
7. Using the ruler, draw a line segment EF.
8. Finally, draw a line segment AF, connecting points A and F.
Triangle ABC is now constructed with a right angle at B, where angle ABC is a 90-degree angle. Now, to measure the length of AC, use the ruler to measure the line segment AF. The measurement will give you the length of AC.