Question
Contruct a ΔABC with BC=6.5cm, AB=5.5 cm, AB=5.5 cm. construct the incircle of the triangle. Mesure and record the radius of the incricle.
 
 

Answer

Steps of construction: 
1) Draw BC=6.5cm.
2) with B as centre, draw an arc of radius 5.5 cm.
3) with C as centre, draw an arc of radius 5 cm. 
Let this arc meets the pervious arc at A.
4) join AB and AC to get ΔABC. 
5) Draw the bi sectors of ∠ABC and ∠ACB. 
let  thses bisectors meet each other at O. 
6) Draw ON ⊥ BC. 
7) with O as centre and radius ON, draw a incircle that touches all the side of ΔABC, 
8) By mesurment, radius ON=1.5 cm 
 
 

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Inscribe a regular hexagon in a circle of radius 3 .5 cm.
A conical tent with a capacity of $600 m^3$ stands on a circular base of area $160 m^2$ Find in $m^2$​​​​​​​ the area of the canvas.
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
Marks(more than) 90 80 70 60 50 40 30 20 10 0
No. of students 6 13 22 34 48 60 70 78 80 80
A solid is in the form of a right circular cone mounted on a hemisphere. The diameter of the baseof the cone, which exactly coincides with hemisphere, is $7 \ cm$ and its height is $8 \ cm.$ the solid isplaced in a cylindrical vessel of internal radius $7 \ cm$ and height $10 \ cm.$ How much water, in $cm^3,$ will be required to fill the vessel completely.
The horizontal cross $-$ section of a water tank is in the shape of a rectangle with semi $-$ circle at oneend, as shown in the following figure. The water is $2.4$ metres deep in the tank. Calculate thevolume of water in the tank in gallons.
At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is $5/12$. On walking $192$ metres towards the tower, the tangent of the angle is found to be $3/4$. Find the height of the tower.
A circus tent is cylindrical to a height of 8m surmounted by a conical part. If total height of thetent is 13m and the diameter of its base is 24m; calculate:
(i) total surface area of the tent,
(ii) area of canvas, required to make this tent allowing 10% of the canvas used for folds andstitching.
Tangents AP and AQ are drawn to a circle, with centre O, from an exterior point A. prove that: PAQ = 2 ∠OPQ
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 15 cm , radius = 8 cm
The angle of elevation of the top of an unfinished tower at a point 150 m from its base is 30°. How much higher must the tower be raised so that its angle of elevation at the same point may be 60°?