Advertisements
Advertisements
प्रश्न
Using only ruler and compasses, construct a triangle ABC 1 with AB = 5 cm, BC = 3.5 cm and AC= 4 cm. Mark a point P, which is equidistant from AB, BC and also from Band C. Measure the length of PB.
Advertisements
उत्तर
Steps of construction:
(i) Draw a line segment BC = 3. 5 cm.
(ii) With Bas centre and radius 5 cm draw an arc.
(iii) With C as centre and radius 4 cm draw another arc which intersects the first arc at A.
(iv) Join AB and AC.
(v) Dr aw perpendi cu I ar bi sector of BC.
(vi) Dr aw the angle bi sector of angle ABC which intersects the perpendicular bisector of BC at P.
Pis the required point which is equidistant from AB, BC, Band C.
The length of PB = 2.5 cm
APPEARS IN
संबंधित प्रश्न
Describe the locus of vertices of all isosceles triangles having a common base.
Describe the locus of a point P, so that:
AB2 = AP2 + BP2,
where A and B are two fixed points.
Two straight roads AB and CD cross each other at Pat an angle of 75° . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads.
In given figure, ABCD is a kite. AB = AD and BC =CD. Prove that the diagona AC is the perpendirular bisector of the diagonal BD.
Describe completely the locus of a point in the following case:
Midpoint of radii of a circle.
Describe completely the locus of a point in the following case:
Centre of a ball, rolling along a straight line on a level floor.
Describe completely the locus of a point in the following case:
Point in a plane equidistant from a given line.
Construct a triangle ABC, such that AB= 6 cm, BC= 7.3 cm and CA= 5.2 cm. Locate a point which is equidistant from A, B and C.
Using a ruler and compass only:
(i) Construct a triangle ABC with BC = 6 cm, ∠ABC = 120° and AB = 3.5 cm.
(ii) In the above figure, draw a circle with BC as diameter. Find a point 'P' on the circumference of the circle which is equidistant from Ab and BC.
Measure ∠BCP.
Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords, AB and AC, of the circle of length 6 cm and 5 cm respectively.
- Construct the locus of points, inside the circle, that are equidistant from A and C. Prove your construction.
- Construct the locus of points, inside the circle, that are equidistant from AB and AC.
