Question

Draw the following triangles and construct circumcircles for them.
In $△PQR,PQ=5cm,QR=6cm$ and $RP=8.2cm$

Answer 1

Given,

to construct $\Delta PQR$ measurements $PQ=5cm,QR=6$ and $RP=8.2cm$

Rough draft :- Ref. image

Main draft :- Ref. image

Construction steps :-

i) Draw a line segment $RP=8.2cm$ as the base.

ii) Now, taking 'R' as centre draw an arc of radius $6cm$

iii) Now, taking 'P' as centre cut the previous arc with radius $5cm$.

iv) Now join the vertices, a $\Delta PQR$ is formed.

v) Taking radius of more than a half draw the perpendicular bisectors on either sides of the triangle.

vi) Now, try to cut the previous perpendicular bisectors

vii) The joining point of all the perpendicular bisectors is named as (S) circum centre.

viii) Now, from (S) draw a circle which touches all the vertices of the $

Delta PQR$.

ix) Thus, circum circle of$\Delta PQR$ is formed.

Conclusion :-

Therefore, the required circum circle for $△PQR$ is formed.