Construct A Triangle Given The Length Of Its Three Sides
More Lessons for Geometry
Math Worksheets
We can use a pair of compasses and a ruler to construct a triangle when the lengths of its sides are given.
Example
Construct a triangle PQR with PQ = 5cm, PR = 6 cm and QR = 4.5 cm.
Solution:
Step 1 : Using the steps in the previous section, draw a line segment PQ with lengths 5 cm and mark the points P and Q.
Step 2 : To draw PR, first stretch the 2 arms of the compasses 6 cm apart, place the sharp point at point P and mark an arc with the pencil end.
Step 3 : To draw QR, adjust the compasses to 4.5 cm, place the sharp point at point Q and mark an arc with the pencil end. You need to draw the arc so that it will intersect with the arc drawn in step 2. Label the point of intersection as point R.
Step 4 : Draw straight lines from P to R and from Q to R
The following video shows how to construct an SSS Triangle using a ruler and compass,
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.