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Standard X

Mathematics

Area of a Segment of a Circle

You have a tr...

Question

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

True

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False

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Solution

The correct option is A
True

Incenter is that point inside the triangle where all three sides of the triangle are equidistant.

Here even if i increase the radius the distance of O from every side remains the same.Therefore the chords cut by the circle will be the same length if we increase the radius more than ' $r$ '.

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Similar questions

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?

Q. To construct a triangle similar to a given

△

ABC with its sides

\frac{8}{5}

of the corresponding sides of

△ A B C

, draw a ray

B X

, such that

∠ C B X

is an acute angle and

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is on the opposite side of

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with respect to

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Q. Construct a

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in which

A B = 4 c m, B C = 5 c m

and

A C = 6 c m .

Now, construct a triangle similar to

△ A B C

such that each of its sides is two-third of the corresponding sides of

△ A B C .

Also, prove your assertion.

Draw a circle on a tracing paper and draw two equal chords and drop a perpendicular from center to the chord. Fold the paper such that the two chords coincide. You will find that the two perpendiculars also coincide.

A triangle with sides 2cm, 3cm and 5cm is possible.

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

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