Math, asked by mathda6698, 11 months ago

Two sides of a triangle are 24.8cm and 15.6cm if the perimeter of the triangle is 52.9cm find it's third side

Answers

Answered by divyansh2202
2

Answer:

12.5 cm

Step-by-step explanation:

perimeter of triangle=a+b+c

let c be'x'

24.8+15.6+x=52.9

40.4+x=52.9

x=52.9-40.4

x=12.5cm

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Answered by Anonymous
0

Step-by-step explanation:

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}}} \\ \\

_________________…

  \\ \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}

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