Advertisements
Advertisements
प्रश्न
Using ruler and compasses only, construct Δ ABC in which BC=7.5 cm, ∠ ABC = 60° and AC - AB= 1.5 cm. Inscribe a circle in the Δ ABC and measure its radius.
उत्तर
Steps of construction:
(i) Draw a line segment BC= 7.5 cm
(ii) At B 1 draw an arc making an angle of 60° with BC.
(iii) At C, draw an arc with radius ( AC= AB+ 1.5 cm) = 9 cm cutting the previous arc.
(iv) Join AC and AB.
(v) Draw angle bisectors for ∠ A and ∠ B meeting at O.
(vi) Draw a perpendicular to BC from O and mark it as M.
(vii) With OM as radius draw a circle touching all three sides of the triangle.
(viii) The drawn drde is the required circle with radius= 2.3 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.
Using ruler and compasses only,
- Construct a triangle ABC with the following data :
Base AB = 6 cm, BC = 6.2 cm and ∠CAB = 60°. - In the same diagram, draw a circle which passes through the points A, B and C and mark its center O.
- Draw a perpendicular from O to AB which meets AB in D.
- Prove that : AD = BD.
Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon.
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.
Using ruler and compasses only, construct a triangle ABC in which AB=S cm, BC=6 cm and CA=4.5 cm. Construct a circle passing through A, Band c.
Draw a circle of radius 2. 5 cm and circumscribe a square about it.
Draw a line segment OA , 5 cm long. AT O , using ruler and compasses only, construct OB such that , ∠ AOB = 37.5° construct a circle to touch OA at A and to touch OB at B.
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.
Does the perpendicular bisector of BC pass through O?
Construct a triangle ABC, given that the radius of the circumcircle of triangle ABC is 3.5 cm, ∠ BCA = 45° and ∠ BAC = 60°.
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.
