Q3 of 26 Page 187

Draw an equilateral triangle and a semicircle touching its two sides, as in the picture.

Steps of construction:


1) Draw an equilateral triangle ABC of any side.



2) Draw the angle bisector of angle ∠BAC which intersects BC at O.



3) Draw OP ⊥ AB and OQ ⊥ AC



4)Taking O as center, draw a circle with radius as OP or OQ.



More from this chapter

All 26 →
1

Draw a triangle of sides 4 centimetres, 5 centimetres, 6 centimetres and draw its incircle. Calculate its radius.

 2

Draw a rhombus of sides 5 centimetres and one angle 50° and draw its incircle.

 4

Prove the radius of the incircle of an equilateral triangle is half the radius of its circumcircle.

 6

Prove that if the hypotenuse of a right triangle is h and the radius of its incircle is r, then its area is r(h + r).