Let us draw the following triangles. By drawing the circumcircle in each case, let us write the position of circum-centre and the length of circumradius by measuring it. (I)An equilateral having each side of length 6 cm. (ii) An isosceles triangle whose length of the base is 5.2 cm and easch of equal sides is 7 cm. (iii) A right-angled triangle having two sides 4 cm and 8 cm length,containing right angle.
Please draw with compass
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Draw a line segment BC=6cm
⇒ Take B and C as a center with radius 6cm and draw an arc meeting at point A.
⇒ Join AB and AC. We get ABC as the required equilateral triangle.
⇒ Draw a perpendicular bisector on sides AB,BC,AC meeting at point O.
⇒ Take O as the center with radius equal to OA and draw a circle.
⇒ We have to measure radius of the circumcircle, i.e the measure of length of OA.
∴ Radius of circle is 3.5≈2
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