OMTEX CLASSES: circumcircle

Showing posts with label circumcircle. Show all posts

9. Construct the circumcircle and incircle of an equilateral ∆ XYZ with side 6.3 cm.

8. Construct incircle of ∆SGN such that SG = 6.7 cm, ∠S = 70º, ∠G = 50º and draw incircle of ∆ SGN.

Geometry Challenge: Constructing an Incircle

7. Construct the incircle of ∆DEF in which DE = DF = 5.8 cm, and ∠EDF = 65º.

Glossary of Terms

Incircle: The largest possible circle that can be drawn inside a triangle, touching all three sides without crossing them.
Triangle (∆): A fundamental shape in geometry consisting of three straight sides and three angles.
Isosceles Triangle: A triangle that has two sides of equal length. In this problem, ∆DEF is isosceles because DE = DF.
Angle Bisector: A line or ray that divides an angle into two smaller, equal angles. The construction of an incircle relies on finding where these bisectors meet.
Incenter: The center point of a triangle's incircle. It is found at the intersection of the triangle's three angle bisectors.

6. Construct the incircle of ∆ STU in which, ST = 7 cm, ∠T = 120º, TU = 5 cm.

5. Construct the incircle of ∆RST in which RS = 6 cm, ST = 7 cm and RT = 6.5 cm.

4. Construct a right angled triangle ∆PQR where PQ = 6 cm, ∠QPR = 40º, ∠PRQ = 90º. Draw circumcircle of ∆ PQR.

3. Construct the circumcircle of ∆ KLM in which KM = 7 cm, ∠ K = 60º, ∠ M = 55º.

2. Construct the circumcircle of ∆ SIM in which SI = 6.5 cm, ∠ I = 125º, IM = 4.4 cm.

1. Draw the circumcircle of ∆ PMT such that, PM = 5.4 cm, ∠ P = 60º, ∠ M = 70º.