Question

the perimeter of a triangle is 12 1/2 cm . if two of its sides are 4 1/2 cm and 3 3/4 cm then find its length of third side

Answer 1

${\large{\purple{\mathbb{\bold{ANSWER}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

• Perimeter = 12 1/2 cm = 25/2 cm.

• One side = 4 1/2 cm = 9/2 cm.

• Another side = 3 3/4 cm = 15/4 cm.

• Let the third side be x cm.

${\large{\blue{\bold{\underline{So,}}}}}$

=》 9/2cm+15/4cm+x = 25/2 cm.

=》 18/4cm+15/4cm+4x/4cm = 25/2cm.

{By taking LCM}

=》 33cm+4xcm/4 = 25/2 cm.

=》 33cm+4xcm = 100/2 cm.

=》 33cm+4x cm = 50 cm.

=》 4x cm = 50cm-33cm.

=》4x cm = 17cm.

=》 x cm = 17cm/4

${\large{\green{\boxed{\bold{=》\:x\:cm\:=\:4\:\:\: 1/4 }}}}}$

Therefore the length of third side ic 4 1/4 cm.

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