Question

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

(1)The triangles are congruent.

(2) The triangles are not congruent.

What can you say about their perimeters?

NO SPAMS
​

Answer 1

Answer:

(i) the triangles are congruent

△ABC≅△DEF

area(△ABC)=1×2+

2

1

​

×4=4sq. units

area(△DEF)=1×2+

2

1

​

×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.

(ii) the triangles are not congruent

△MNOnot≅△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 equal.

Step-by-step explanation:

hope it helps alot and your welcome !!! have a blessed day

Answer 2

$\huge\mathfrak\red{☟ \: \: \: answer \: \: \: \: ✎}$

There are two ways to answer the question you asked.

✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏

Draw two integers of equal area.

Case (i): The triangles are congruent.

If the triangles are congruent, their perimeters are equal.

Case (ii): The triangles are not congruent. If the triangles are not congruent, their perimeters are not equal.

_____________OR_______________

Look at the pic

Please do not report if the answer is wrong, we have tried our best to give you the correct answer}

$\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$