Construct a a triangle ABC in which BC=13cm, AC=5cm, AB=12cm. Draw it's incircle and measure it's radius.
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Please find below the solution to the asked query:
We follow these steps to construct given triangle and incircle :
Step 1 : Draw a line BC = 13 cm and take radius of 12 cm and center " B " draw an arc and by taking radius of 5 cm and center " C " draw another arc and both arcs intersect at " A " .
Step 2 : Join AB and AC we get required triangle ABC .
Step 3 : Now we take any radius ( Less than half of BC ) and center " B " draw two arcs and these arcs intersect BC and AB at " D " and " E " respectively , with same radius and center " D " and " E " draw two arcs and both arcs intersect at " F " .
Step 4 : Now we take any radius ( Less than half of BC ) and center " C " draw two arcs and these arcs intersect BC and AC at " P " and " Q " respectively , with same radius and center " P " and " Q " draw two arcs and both arcs intersect at " R " .
Step 5 : join B and F and extend and join C and R and both lines intersect at " O " .
Step 6 : Take any radius and center " O " draw two arcs and these arcs intersect line AB at " X " and " Y " , with same radius and center " X " and " Y " draw two arcs and both arcs intersect at " Z " . join OZ and line OZ intersect line AB at " M ".
Step 7 : Take radius as length of " OM " and center " O " and draw a incircle ( In pink ) .
Here you can measure radius of incircle " OM " by yourself with the help of ruler .
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
We follow these steps to construct given triangle and incircle :
Step 1 : Draw a line BC = 13 cm and take radius of 12 cm and center " B " draw an arc and by taking radius of 5 cm and center " C " draw another arc and both arcs intersect at " A " .
Step 2 : Join AB and AC we get required triangle ABC .
Step 3 : Now we take any radius ( Less than half of BC ) and center " B " draw two arcs and these arcs intersect BC and AB at " D " and " E " respectively , with same radius and center " D " and " E " draw two arcs and both arcs intersect at " F " .
Step 4 : Now we take any radius ( Less than half of BC ) and center " C " draw two arcs and these arcs intersect BC and AC at " P " and " Q " respectively , with same radius and center " P " and " Q " draw two arcs and both arcs intersect at " R " .
Step 5 : join B and F and extend and join C and R and both lines intersect at " O " .
Step 6 : Take any radius and center " O " draw two arcs and these arcs intersect line AB at " X " and " Y " , with same radius and center " X " and " Y " draw two arcs and both arcs intersect at " Z " . join OZ and line OZ intersect line AB at " M ".
Step 7 : Take radius as length of " OM " and center " O " and draw a incircle ( In pink ) .
Here you can measure radius of incircle " OM " by yourself with the help of ruler .
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards