[tex]\huge\mathfrak\purple{Question}[/tex]
Q) In a square sheet,draw two triangles of equal areas such that
(¡) The triangles are congruent.
(¡¡) The triangles are not congruent.
( Class 7th maths chapter [Congruence of triangle] )
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In a square sheet,draw two triangles of equal areas such that
(¡) The triangles are congruent.
(¡¡) The triangles are not congruent.
△ABC≅△DEF
area(△ABC)= 1×2+1/2×(4)=4sq.units
area(△DEF)= 1×2+1/2×(4)=4sq.units
∴area(△ABC)=area(△DEF)
Thus, triangles are of equal areas and are congruent.
Perimeter:
As △ABC≅△DEF
By CPCT
AB=DE
BC=EF
AC=DF
Adding all the above 3, we get,
AB+BC+CA=DE+EF+FD
Perimeter of △ABC = Perimeter of △DEF
Thus, perimeters of congruent triangles are also equal.
△MNO not≅△IJK
area(△MNO)=1×2+1×2=4sq. units
area(△IJK)=1×2+1×2=4sq. units
∴area(△MNO)=area(△IJK)
Thus, triangles are of equal areas and are congruent.
Perimeter:
Perimeter of △MNO = Perimeter of △IJK
Thus, perimeters of triangles are not equ
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