If the lengths of all the sides of triangle are equal then it is called a/an_____

Isosceles triangle

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Scalene triangle

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Equilateral triangle

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Obtuse triangle

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Solution

The correct option is C Equilateral triangle
In figure
$\Rightarrow A M = B M = C M = 2 x \Rightarrow D M = M F = E M = 1 x$
In $△ C D M & △ A F M \Rightarrow D M = F M \Rightarrow C M = A M \Rightarrow ∠ C M D = ∠ A M F$
$△ C D M$ and $△ A F M$
$\Rightarrow 2 C D = 2 A F \Rightarrow C B = A B$
$△ A B C$ are equilateral triangle
option A is incorrect.
$∴$ option C is correct.

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Similar questions

Q. If all the sides of a triangle are equal in length, then such a triangle is called an equilateral triangle.

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Shorten them using letters.

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If the lengths of all the sides of triangle are equal then it is called a/an_____

The correct option is C Equilateral triangleIn figure ⇒AM=BM=CM=2x⇒DM=MF=EM=1xIn △CDM&△AFM⇒DM=FM⇒CM=AM⇒∠CMD=∠AMF△CDM and △AFM⇒2CD=2AF⇒CB=AB△ABC are equilateral triangleoption A is incorrect.∴ option C is correct.