Calculating Perimeter of Triangle


 
 
Concept Explanation
 

Calculating Perimeter of Triangle

Calculating Perimeter of Triangles:

If  large Delta ABCsim Delta PQR  then prove that frac{AB}{PQ}=frac{BC}{QR}=frac{CA}{RP}=frac{perimeter(Delta ABC)}{perimeterDelta PQR}

Proof    Given  large Delta ABCsim Delta PQR

large Rightarrow ;frac{AB}{PQ}=frac{BC}{QR}=frac{CA}{RP}

 Let large frac{AB}{PQ}=frac{BC}{QR}=frac{CA}{RP}=k

large Rightarrow     large AB=k(PQ),BC=k(QR),CA=k(RP)

large therefore     large AB+BC+CA=k(PQ+AR+RP)

large Rightarrow ;;frac{AB+BC+CA}{PQ+QR+RP}=k

large frac{AB}{PQ}=frac{BC}{QR}=frac{CA}{RP}=frac{AB+BC+CA}{PQ+QR+RP}=frac{perimeter(Delta ABC)}{perimeterDelta PQR}

Sample Questions
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Question : 1

If the perimeter of the triangle is frac{77}{8};cmand two sides of the triangle are frac{3}{8};cm,;frac{5}{7};cm, then find the measure of the third side.

Right Option : C
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Question : 2

Calculate the perimeter of a triangle if its sides are 3 dm, 41 dm, and 1589 dm respectively.

Right Option : C
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Explanation
Question : 3

Find the value of third side, if the perimeter is 150m and other two sides are 54m and 10m.

Right Option : D
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Explanation
 
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