Question

2. Two sides of a triangle are 21 cm and 32 cm. The perimeter of the triangle is 85 cm. Find the third side ​

Answer 1

Answer:

32+21=53

perimeter=85-53= 32

32cm third side

Answer 2

Given

• Two side of the triangle are 21cm and 33cm, The perimeter is 85cm.

To find

• The third side of the triangle.

Answer

• If two sides are given of the triangle then we have to add that two sides.

• After adding the two sides we have to subtract the given perimeter from the addition of the sides.

$\underline{\bf{\pink\dag} \:\mathfrak{As \ we \ know\: :}}$

$\sf\blue{21_{\:(cm)} + 32_{\:(cm)}}$

$\sf\green{52_{\:(cm)}}$

$\sf{Perimeter - Addition \ of \ two \ sides.}$

$\sf\purple{85_{\:(cm)}- 52_{\:(cm)}}$

$✯{\red{\boxed{\mathfrak{32_{\:(cm)}}}}}$

Now let's check that our answer is correct or not.

$\star\;\boxed{\sf{\blue{Perimeter_{\:(triangle)} = Sum \ of \ the \ length \ of \ all \ sides}}}$

$\sf{First \ side \ + Second \ side \ + Third \ side} = \sf{Perimeter \ of \ Triangle$

$\sf\pink{21cm + 32cm + 32cm}$

$\sf\orange{= 85cm}$

•°• Hence, verified! that the third side is 85cm.

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Diagram

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){ \bf A }\put(0.5,-0.3){ \bf C }\put(5.2,-0.3){ \bf B }\end{picture}$

• In diagram AB = $\sf\purple{21cm}$
• In diagram BC = $\sf\pink{32cm}$
• In diagram CA = $\sf\red{32cm}$

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