MHB How do I construct this Triangle?

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To construct triangle "J" using a protractor, ruler, compass, and pencil, the key is understanding that the two tangents from a point to a circle are equal in length. The line segment AB measures 13 cm, and a circle with a radius of 4 cm touches this line at a point 6 cm from point A. This information allows for the construction without needing to calculate the angles. The focus should be on using the given lengths and properties of tangents to complete the triangle. Clear guidance on these geometric principles will aid in successfully constructing triangle "J."
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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
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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