Question

$\huge\mathfrak\purple{Question}$

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] )

Answer this correctly...
wrong and spammed answers will be reported..✔​

Answer 1

$\huge\bold{QUESTION}$

In a square sheet,draw two triangles of equal areas such that

(¡) The triangles are congruent.

(¡¡) The triangles are not congruent.

$\huge\bold{SOLUTION}$

${\tt{\pink{\underline{\underline{(i)\ the\ triangles\ are\ congruent}}}}}$

△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.

${\tt{\green{\underline{\underline{(ii)\ the\ triangles\ are\ not\ congruent}}}}}$

△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

hope it helps ☺️☺️☺️

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Answer 2

QUESTION

In a square sheet,draw two triangles of equal areas such that

(¡) The triangles are congruent.

(¡¡) The triangles are not congruent.

\huge\bold{SOLUTION}SOLUTION

{\tt{\pink{\underline{\underline{(i)\ the\ triangles\ are\ congruent}}}}}(i) the triangles are 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.

{\tt{\green{\underline{\underline{(ii)\ the\ triangles\ are\ not\ congruent}}}}}(ii) the triangles are not congruent

△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

hope it helps ☺️☺️☺️