How do I construct this Triangle?

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SUMMARY

The discussion focuses on constructing triangle "J" using basic geometric tools: a protractor, ruler, compass, and pencil. A key insight shared is that the two tangents from a point to a circle are equal in length, which aids in the construction process. Specifically, line segment AB measures 13cm, and a circle with a radius of 4cm touches this line at a point 6cm from point A. Understanding these relationships allows for the successful construction of the triangle without needing to calculate angles.

PREREQUISITES
  • Basic knowledge of geometric constructions
  • Understanding of tangents to circles
  • Familiarity with using a protractor and compass
  • Ability to measure and draw accurately with a ruler
NEXT STEPS
  • Research geometric constructions involving circles and tangents
  • Learn about the properties of tangents and their applications in triangle construction
  • Explore techniques for constructing triangles without angle measurements
  • Practice using a compass and protractor for accurate geometric drawings
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Students learning geometry, educators teaching geometric constructions, and anyone interested in improving their skills in manual drafting and geometric problem-solving.

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I have to construct the triangle "J" only using protractor, ruler, compass and pencil. But I can't seem to find a way to figure out the angles. Please help.

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schunck said:
I have to construct the triangle "J" only using protractor, ruler, compass and pencil. But I can't seem to find a way to figure out the angles. Please help.
Hi schunck, and welcome to MHB!

Just to get you started, the two tangents from a point to a circle have the same length. So the line $AB$ is 13cm long, and a circle of radius 4cm touches it at a distance 6cm from $A$. Can you take it from there? (You don't need to know the angles.)
 
Of course. Thx
 

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