(B) According to the triangle inequality theorem,the difference between the lengths of any two sides of a triangle is always less than the length of t

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(B) According to the triangle inequality theorem,the difference between the lengths of any two sides of a triangle is always less than the length of the third side. If the sides of a triangle are $a$,$b$,and $c$,then $|a - b| < c$,$|a - c| < b$,and $|b - c| < a$.

Class 9 Mathematics Triangles Mix Examples - Triangles

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The difference of any two sides of a triangle is $\ldots \ldots \ldots$ than the third side.

A
greater
B
less
C
equal to
D
none of these

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Class 9

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Triangles

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Mix Examples - Triangles

In $\Delta ABC$,if $\angle A > \angle B$,then $AC \ldots \ldots BC$.

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In $\Delta ABC$,$AD$ is a median. Prove that $AB + AC > 2AD$.

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In the given figure,$AB = AC$ and $BP = CQ$. Prove that $\Delta APQ$ is an isosceles triangle.

Medium

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$\angle ABD$ and $\angle ACE$ are exterior angles of $\Delta ABC$. If $\angle ABD > \angle ACE$,then prove that $AC > AB$.

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$S$ is any point on side $QR$ of a $\triangle PQR$. Show that: $PQ + QR + RP > 2 \, PS$.

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The difference of any two sides of a triangle is $\ldots \ldots \ldots$ than the third side.

Similar Questions

In $\Delta ABC$,if $\angle A > \angle B$,then $AC \ldots \ldots BC$.

In $\Delta ABC$,$AD$ is a median. Prove that $AB + AC > 2AD$.

In the given figure,$AB = AC$ and $BP = CQ$. Prove that $\Delta APQ$ is an isosceles triangle.

$\angle ABD$ and $\angle ACE$ are exterior angles of $\Delta ABC$. If $\angle ABD > \angle ACE$,then prove that $AC > AB$.

$S$ is any point on side $QR$ of a $\triangle PQR$. Show that: $PQ + QR + RP > 2 \, PS$.

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