मराठी

Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.

Advertisements
Advertisements

प्रश्न

Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.

भौमितिक रेखाचित्रे
बेरीज
Advertisements

उत्तर


Steps of construction:

  1. Draw AB = 6 cm.
  2. At A, draw 120° and mark AC = 5 cm. Join BC.
  3. Draw perpendicular bisectors of AB and AC; they meet at O.
  4. Measure OC (radius).
  5. Draw a circle with centre O and radius OC through A, B, and C.
  6. Radius OC = 5.5 cm.
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Constructions - CHAPTER TEST [पृष्ठ ३७०]

APPEARS IN

नूतन Mathematics [English] Class 10 ICSE
पाठ 16 Constructions
CHAPTER TEST | Q 1. | पृष्ठ ३७०

संबंधित प्रश्‍न

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.


In the given figure, PQ is a tangent to the circle at A. AB and AD are bisectors of ∠CAQ and ∠PAC. if ∠BAQ = 30°. Prove that:

  1. BD is a diameter of the circle.
  2. ABC is an isosceles triangle.


  1. Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
  2. Find its in centre and mark it I.
  3. With I as centre, draw a circle which will cut off 2 cm chords from each side of the triangle. What is the length of the radius of this circle. 

Construct an equilateral triangle ABC with side 6 cm. Draw a circle circumscribing the triangle ABC. 


Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.


Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.


To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is ______.


A pair of tangents can be constructed from a point P to a circle of radius 3.5cm situated at a distance of ______ from the centre.


There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?


Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×