Incenter and ...

Incenter and Construction of Incircle in a Triangle

Trending Questions

Q. Construct ∆PYQ such that, PY = 6.3 cm, YQ = 7.2 cm, PQ = 5.8 cm. If

\frac{YZ}{YQ} = \frac{6}{5},

then construct ∆XYZ similar to ∆PYQ.

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Q. Construct a triangle with sides 5 cm, 5.5 cm and 6.5 cm. Now construct another triangle, whose sides are

\frac{3}{5}

times the corresponding sides of the given triangle. [CBSE 2014]

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Draw a triangle of sides 4, 5, 6 centimetres and draw its incircle.

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Construct a triangle of sides 4 cm, 5cm and 6cm and then a triangle similar to it whose sides areof the corresponding sides of the first triangle.

Give the justification of the construction.

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Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose side are times the corresponding sides of the isosceles triangle.

Give the justification of the construction.

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Q. Draw a right triangle in which sides (other than the hypotenuse) are of lengths 8 cm and 6 cm. Then construct another triangle whose sides are

\frac{3}{4}

times the corresponding sides of the first triangle.

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In drawing triangle ABC, it is given that AB = 3 cm, BC = 2 cm and AC = 6 cm. It is not possible to draw the triangle as:

AB < AC + BC
AC > AB + BC
AB < AC
AB > BC

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$△ A M T \sim △ A H E .$ In $△ A M T, A M = 6.3 c m, ∠ T A M = 50^{\circ}$ , $A T = 5.6 c m . \frac{A M}{A H} = \frac{7}{5} .$ Construct $△ A H E .$

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Q. Triangle ABC is constructed with BC = 5.5 cm, AB = 5.5 cm and AC = 5 cm. Two angle bisectors are drawn (angle A and C) that intersected at point O. Drop a perpendicular OD to side of the triangle. The length of OD is:

1.53 cm
1.3 cm
1.9 cm
2.2 cm

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How can I draw a triangle of circum radius 3cm and two angles 32 1/2 degree and 37 1/2 degree

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Q. Construct a triangle similar to Δ ABC in which AB = 4.6 cm, BC = 5.1 cm, ∠A = 60° with scale factor 4 : 5.

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Q. In ∆ PQR PQ> PR and PS is angle bisector of angle P then: (1) PS=PR (2) PSPS (4) PQ

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Q. Construct a triangle similar to a given ΔABC such that each of its sides is (2/3)^rd of the corresponding sides of ΔABC. It is given that BC = 6 cm, ∠B = 50° and ∠C = 60°.

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Q. Construct a triangle similar to a given ΔABC such that each of its sides is (5/7)^th of the corresponding sides of Δ ABC. It is given that AB - 5 cm, BC = 7 cm and ∠ABC = 50°.

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Q. ∆ABC ~ ∆LBN. In ∆ABC, AB = 5.1cm, ∠B = 40°, BC = 4.8 cm,

\frac{AC}{LN} = \frac{4}{7}

. Construct ∆ABC and ∆LBN.

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Construct a triangle ABC with AB is equal to 6cm , BC iapz equal to 7cm and an angle Bis equal to 60.Then construct a similar triangle whose sides are3/5 of triangle ABC

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how many parts does a triangle have?

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Q. Draw a right triangle ABC in which AC = AB = 4.5 cm and ∠A = 90°. Draw a triangle similar to ΔABC with its sides equal to (5/4)th of the corresponding sides of ΔABC.

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Q. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are

1 \frac{1}{2}

times the corresponding sides of the isosceles triangle.

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Q. Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. The radius of the incircle is

1.3 cm
1.6 cm
1.9 cm
2.2 cm

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You have a triangle $△$ constructed and you have also located the incenter; now I decide to draw a circle from the incenter such that i cuts a 2cm chord on one side of the triangle. Will it cut 2cm chord on the other two sides of the triangle?

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Q. Draw a right triangle in which sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then, construct another triangle whose sides are

\frac{5}{3}

times the corresponding sides of the given triangle. [CBSE 2011]

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Q. Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. find the radius of the incircle.

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Q. In a triangle, the perpendicular from the vertex to the base bisects the base. The triangle is
Figure

(a) right-angle
(b) isosceles
(c) scalene
(d) obtuse-angled

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Q. Construct a ΔABC in which AB = 5 cm. ∠B = 60° altitude CD = cm. Construct a ΔAQR similar to ΔABC such that side ΔAQR is 1.5 times that of the corresponding sides of ΔACB

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Q. Construct a ∆PQR in which QR = 6 cm, PQ = 5 cm and ∠PQR = 60°. Now , construct a triangle similar to ∆PQR such that each of its sides is

\frac{3}{5}

the corresponding sides of ∆PQR.

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Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm.AC = 5 cm. Construct the incircle of the triangle. Measure the radius of the incircle.(approximate)

2 cm
3 cm
4 cm
1.6 cm

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Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. the construct another triangle whose sides are times the corresponding sides of the given triangle. Give the justification of the construction.

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Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are of the corresponding sides of the first triangle.

Give the justification of the construction.

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The figure given below has been constructed by following the steps given below.

I: Draw aray AX making an acute angle with a given side AB of ΔABC on the opposite side of vertex C.

II: Locate 3 points A₁, A₂, A₃ on line AX such that AA₁ = A₁A₂ = A₂A₃. Join BA₃.

III: Drow a line through A₂parallel to BA₃ to intersect AB at point B'. Drow a line through B' parallel to the line BC to intersect AC at C'.

Then, ΔAB'C' and ΔABC are

None Of The Above
Similar
Congruent
Equal In Area

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