if the ratio of the corrosponding sides of similar triangles is 3:4 what will be the ratio of their areas
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If the ratio of the corresponding sides of two similar triangles is 3:4, then the ratio of their perimeters is:
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ANSWER
Ratio corresponding to similar triangle =
4
3
i.e.
PQ
AB
=
4
3
QR
BC
=
4
3
PR
AC
=
4
3
AB=
4
3PQ
BC=
4
3QR
AC=
4
3PR
PerimeterofPQR
PerimeterofABC
=
PQ+QR+RP
AB+BC+CA
=
PQ+QR+PR
4
3
(PQ+QR+PR)
=
4
3
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Answer:
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Step-by-step explanation:
Ratio corresponding to similar triangle = 3/4
i.e.
AB/PQ = 3/4
BC / QR = 3/4
AC/ PR = 3/4
AB= 3PQ/4
BC= 3 QR/4
AC= 3PR/4
Perimeter of ABC/ PerimeterofPQR= AB+BC+CA/
PQ + QR + RP = 3/4 (PQ+QR+PR) / PQ + QR + PR = 3/4
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