Question

In triangle abc lm is the line segment joining the midpoint of side bc and ca.If lm equal to 3.4cm.Find the length of ab

Answer 1

Hey friend, I think length of AB is parallel to LM and it is also 3.4 cm. But can you send picture of it ?

Answer 2

$\underline{\bold{Hey\:Mate\:Here\:Is\:Your\:Answer}}$

$\underline{\bold{Given\:That...}}$

In A Triangle LM is A Line Segment Joining The Midpoint Of Side BC And CA And It's Also Said That LM Is

Equal To 3.4cm , So Now We Need To Find Length Of AB ...

$\underline{\bold{Solution..}}$

Now According To Question LM Is A line Segment Joining The Mid points Of Side BC And CA In ∆ABC ..

And

$\bold{LM \:= \:3.4 cm }$

So To Find The Measure Of AB ..

We Know A Theorem Known As $\underline{\bold{The\: Mid-Point\: Theorem}}$ It States That ...

$\bold{A\: L i n e\: Se g m ent\: Joining\: M i d-Po in ts\: Of\: Two\: Sides \:Of \:A \:Triangle\: Is \:Parallel}$
$\bold{\:To \:The \:Third\: Side \:As\: well\: As \:H al f \:Of\: The\: third \:Side\: Equal.}$

So Now Applying The Theorem Here ..

Where ..

$\bold{The\: Line\: Segment \:Joining \:The\: Mid-points \:=\: LM\: = \:3.4cm }$

$\bold{And \:The\: Third\: Side \:=\: AB}$

Now By This Theorem We Have ..

$\bold{AB \:= \:2(LM)}$

That Is ..

$\bold{AB\:= 2 (3.4cm)}$

That Is ...

$\boxed{\bold{AB \:=\:6.8cm}}$

$\underline{\bold{Hence\:The\: Required\:Answer\:Is..}}$

$\boxed{\boxed{\bold{6.8cm}}}$

$\mathfrak{\bold{Thanks..}}$