If the areas of two similar triangles are equal then prove that they are congruent.
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Step-by-step explanation:
Answer
Given that:
ar△ABC=ar△DEF
Prove that:
△ABC≅△DEF
Proof:
Two triangles ABC and DEF are shown in figure.
ar△ABC=ar△DEF (given)
ar△DEF
ar△ABC
=1
DE
2
AB
2
=
EF
2
BC
2
=
FD
2
CA
2
=1 [ USING THEOREM OF AREA OF SIMILAR TRIANGLES]
AB=DE,BC=EF,CA=FD
Thus, △ABC≅△DEF [BY SSS criterion of congruence]
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Step-by-step explanation:
If the areas of two similar triangles are equal then prove that they are congruent.
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