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प्रश्न
Contruct a ΔABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incricle.
उत्तर
Steps of construction:
- Draw BC = 6.5 cm.
- With B as centre, draw an arc of radius 5.5 cm.
- With C as centre, draw an arc of radius 5 cm.
Let this arc meets the previous arc at A. - Join AB and AC to get ΔABC.
- Draw the bisectors of ∠ABC and ∠ACB.
Let these bisectors meet each other at O. - Draw ON ⊥ BC.
- With O as centre and radius ON, draw a incircle that touches all the side of ΔABC.
- By measurement, radius ON = 1.5 cm.
APPEARS IN
संबंधित प्रश्न
Using ruler and compass only, construct a ΔABC such that BC = 5 cm and AB = 6.5
cm and ∠ABC = 120°
1) Construct a circum-circle of ΔABC
2) Construct a cyclic quadrilateral ABCD, such that D is equidistant from AB and BC.
Construct a triangle ABC in which base BC = 6 cm, AB = 5.5 cm and ∠ABC = 120°.
Construct a circle circumscribing the triangle ABC.
Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C.
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.
- What do you call the point O?
- What is the relation between the distances OA, OB and OC?
- Does the perpendicular bisector of BC pass through O?
Constuct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC = 105°. Hence:
- Construct the locus of point equdistant from BA and BC.
- Construct the locus of points equidistant from B and C.
- Mark the point which satisfies the above two loci as P. Measure and write the length of PC.
Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.
Draw a circle of radius 2. 5 cm and circumscribe a square about it.
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.
What is the relation between the distances OA, OB and OC?
Construct a triangle ABC in which AB = 5 cm, BC = 6.8 cm and median AD = 4.4 cm. Draw incircle of this triangle.
Construct a Δ ABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.
Ruler and compasses only may be used in this question. All constructions lines and arcs must be clearly shown, and the be sufficient length and clarity to permit assessment:
(i) Construct a triangle ABC, in which AB = 9 cm, BC = 10 cm and angle ABC = 45°.
(ii) Draw a circle, with center A and radius 2.5 cm. Let it meet AB at D.
(iii) Construct a circle to touch the circle with center A externally at D and also to touch the line BC.
