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 72 ft and the two sides of the triangle are 7ft, 16 ft, then what will be the measure of its third side?

Right Option : C
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Question : 2

Find the value of third side, if the perimeter is 100m and other two sides are 50m and 14m.

Right Option : C
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Explanation
Question : 3

Find the perimeter of an equilateral triangle with one side of 150 m.

Right Option : C
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Explanation
 
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