16
Question
Draw the incircle of equilateral triangle of side 5 cm. Measure the radius of the circle.
Draw the incircle of equilateral triangle of side 5 cm. Measure the radius of the circle.
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Solution
The correct option is D 1.4 cm
Steps of Construction:
i) Draw a line segment BC = 5 cm
ii) With B and C as centers, draw two arcs of radius 5 cm each which intersect each other at A
iii) Join AB and AC.
iv) Draw angle bisectors of ∠B and ∠C intersecting each other at O.
v) From O draw ON perpendicular BC.
vi) Now with centre O and radius ON,draw a circle which will touch all the three sides of the triangle. Measure ON . ON = 1.4cm
1.4 cm
Steps of Construction:
i) Draw a line segment BC = 5 cm
ii) With B and C as centers, draw two arcs of radius 5 cm each which intersect each other at A
iii) Join AB and AC.
iv) Draw angle bisectors of ∠B and ∠C intersecting each other at O.
v) From O draw ON perpendicular BC.
vi) Now with centre O and radius ON,draw a circle which will touch all the three sides of the triangle. Measure ON . ON = 1.4cm
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