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mathlearn
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Looks like this question is going to make a long thread. :) This is what the problem states
Using the pair of compass and a straight edge,
Then,
After That,
Thereafter,
Thereafter, The question states to mark the point where the tangent and AD produced as 'X'.Now can you help me to state, $\angle$AXC = $\angle$ACB. and I want to know verify the rest is done correctly. :) The updated diagram,
Many thanks :)
"Use only a straight edge with a cm/mm scale and a pair of compasses to do the following constructions. Draw your construction lines clearly.
View attachment 5914
(i) Construct the triangle ABC according to the measurements shown in the given sketch.
(ii) Construct a perpendicular from A to BC and name the point it meets BC as D.
(iii) Construct the circle that passes through the points A, C and D.
(iv) Construct the tangent to this circle at the point C, and name the point at which it meets AD produced as X.
(v) Show that $\angle$AXC = $\angle$ACB."
View attachment 5914
(i) Construct the triangle ABC according to the measurements shown in the given sketch.
(ii) Construct a perpendicular from A to BC and name the point it meets BC as D.
(iii) Construct the circle that passes through the points A, C and D.
(iv) Construct the tangent to this circle at the point C, and name the point at which it meets AD produced as X.
(v) Show that $\angle$AXC = $\angle$ACB."
Using the pair of compass and a straight edge,
(i) Construct the triangle ABC according to the measurements shown in the given sketch.
![2ir27o8.jpg](http://i65.tinypic.com/2ir27o8.jpg)
Then,
(ii) Construct a perpendicular from A to BC and name the point it meets BC as D.
![29awlzl.jpg](http://i65.tinypic.com/29awlzl.jpg)
After That,
(iii) Construct the circle that passes through the points A, C and D.
![4fu96q.jpg](http://i68.tinypic.com/4fu96q.jpg)
Thereafter,
(iv) Construct the tangent to this circle at the point C, and name the point at which it meets AD produced as X.
![fp2gsh.jpg](http://i63.tinypic.com/fp2gsh.jpg)
Thereafter, The question states to mark the point where the tangent and AD produced as 'X'.Now can you help me to state, $\angle$AXC = $\angle$ACB. and I want to know verify the rest is done correctly. :) The updated diagram,
(v) Show that $\angle$AXC = $\angle$ACB.
![2m3s8t1.jpg](http://i66.tinypic.com/2m3s8t1.jpg)
Many thanks :)