Mathematics
Answer
Steps of construction :
Draw a line segment BC = 5.6 cm.
With B as center and radius 5.6 cm draw an arc.
With C as center and radius 5.6 cm draw another arc which intersects first arc at A.
Join AB and AC. ABC is the required triangle.
Draw angle bisectors of ∠B and ∠C intersecting each other at O.
From O, draw OL ⊥ BC.
Now with center O and radius OL, draw a circle which will touch the sides of △ABC.
Hence, above is the required circle.
Related Questions
Using a ruler and a compass, construct a triangle ABC in which AB = 7 cm, ∠CAB = 60° and AC = 5 cm. Construct the locus of :
(i) points equidistant from AB and AC.
(ii) points equidistant from BA and BC.
Hence construct a circle touching the three sides of the triangle internally.
Construct a triangle ABC in which AB = 5 cm, BC = 6.8 cm and median AD = 4.4 cm. Draw incircle of this triangle.
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
In triangle ABC, ∠ABC = 90°, side AB = 6 cm, side BC = 7.2 cm and BD is perpendicular to side AC. Draw circumcircle of triangle BDC and then state the length of the radius of this circumcircle drawn.