ICSE Class 10 Answered

Using ruler and compass only,construct a ABC in which BC=6.2cm,A=60 and the altitude through A is 2.6cm. Draw its circumcircle.

Asked by shubhangijha9 | 12 Mar, 2016, 06:45: PM

Expert Answer

begin mathsize 16px style 1 right parenthesis space space Draw space straight a space line space segment space BC space equals space 6.2 space cm 2 right parenthesis space space At space straight B comma space make space the space given space angle space angle CBX space equals space 60 degree space 3 right parenthesis space space Draw space BY perpendicular BX 4 right parenthesis space space Draw space the space perpendicular space bisector space of space BC space intersecting space BY space at space straight O space and space BC space at space straight M. space 5 right parenthesis space space With space straight O space as space centre space and space OB space as space radius comma space draw space the space circle. space 6 right parenthesis space The space segment space BTC space contains space the space vertical space angle space 60 degree. space 7 right parenthesis space space On space the space perpendicular space bisector space MO comma space mark space straight a space point space straight S space such space that space MS space equals space 2.6 space cm. space 8 right parenthesis space space Draw space ASA apostrophe space space parallel space to space BC space meeting space the space circle space at space straight A space and space at space straight A apostrophe space 9 right parenthesis space space Complete space the space triangle BCA space which space is space one space of space the space required space triangles. end style

Answered by Rashmi Khot | 14 Mar, 2016, 06:08: PM

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