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| 1. |
The perimeter of two similar triangles ABC and PQR are 32cm. respectively. If PQ=12cm , find AB. |
| Answer» According to question it is given that triangles ABC and PQR are similar.Also, perimeter of ∆ ABC = 32 & Perimeter of ∆ PQR = 24Therefore,{tex}\\frac { \\text { Perimeter } ( \\triangle A B C ) } { \\text {Perimeter } ( \\triangle P Q R ) }{/tex}{tex}= \\frac { A B } { P Q }{/tex}{tex}\\Rightarrow \\frac { 32 } { 24 } = \\frac { A B } { 12 }{/tex}{tex}\\Rightarrow A B = \\frac { 32 \\times 12 } { 24 }{/tex}= 16 cm | |