मराठी

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. - Mathematics

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प्रश्न

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.

बेरीज

उत्तर

BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm

Radius of the circle = 2.5 cm

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पाठ 16: Constructions (Circle) - Exercise

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आईसीएसई Mathematics [English] Class 10
पाठ 16 Constructions (Circle)
Exercise | Q 25

संबंधित प्रश्‍न

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.

  1. What do you call the point O?
  2. What is the relation between the distances OA, OB and OC?
  3. Does the perpendicular bisector of BC pass through O?

Using a ruler and compasses only: 

  1. Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ABC = 120°.
  2. In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC. 
  3. Measure ∠BCP.

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.


Construct Δ ABC in which AB = 5 cm, BC = 4. 5 cm and ∠ ABC = 60" .. Construct a cirde to circumscribe. Δ ABC.


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. 


Using ruler and compasses only, construct and equilateral triangle with side 4.5 cm. Draw a circumcircle of this triangle and measure its radius. 


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 triangle whose sides are 4.4 cm, 5.2 cm, and 7.1 cm. Construct its circumcircle. Write also the steps of construction.


Construct a ΔABC with base BC = 3.5 cm, vertical angle ∠ BAC = 45°, and median through the vertex A is 3.5 cm. Write also the steps of construction.


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