Question

two sides of traingle are 24.8 and 15.6cm .if the perimeter of traingle is 52.9cm,find it's third sides
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Answer 1

GIVEN :-

• Two sides of a triangle are 24.8 and 15.6 cm.
• perimeter of the triangle = 52.9 cm.

TO FIND :-

• The length of its third side.

SOLUTION :-

As we know that the perimeter is the measure of sum of all the sides of triangle,

$\\ : \implies \displaystyle \sf \: Perimeter = side_{1} + side_{2} + side_{3}$

$: \implies \displaystyle \sf \:52.9 \: cm \: = 24.8 \: + 15.6 \: +side_{3}$

$: \implies \displaystyle \sf \:52.9 \: cm = 40.4 + side_{3}$

$: \implies \displaystyle \sf \:side_{3} = 52.9 \: cm - 40.4 \: cm$

$: \implies\underline{ \boxed{ \displaystyle \bold{\sf \:side_{3} = 12.5 \: cm}}}$

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$\\ \underline{\bigstar\textsf{Diagram.}}$

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

Answer 2

Given :

• Two sides of a Triangle = 24.8 cm and 15.6 cm

• Perimeter = 52.9 cm

To find :

• Third Side of the Triangle

Formula to be used :

● Perimeter of a Triangle = Sum of its three sides

According to the question :

⇢a = 24.8 cm

⇢b = 15.6 cm

Let the Third side be ' c '

Applying values in Formula, We Get :

➳ Perimeter = a + b + c

⟹ 52.9 = 24.8 + 15.6 + c

⟹ 52.9 = 40.4 + c

⟹ c = 52.9 - 40.4

⟹ c = 12.5

Verification :

➳ Perimeter = a + b + c

⟹ 52.9 = 24.8 + 15.6 + 12.5

⟹ 52.9 = 52.9

Hence Verified !

∴ The third side of the Triangle is 12.5 cm

So, It's Done !!