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

(i) the triangles are congruent

(ii) the triangles are not congruent

What can you say about their perimeters?

**Solution:**

(i) If two triangles are congruent, then all the corresponding parts of the triangles will be equal.

Let us consider two triangles, ΔABC and ΔDEF

On the given square sheet, we have drawn two congruent triangles.

∆ ABC = ∆ DEF

such that

AB = DE,

BC = EF and AC = DF

On adding, we get

AB + BC + AC = DE + EF + DF

⇒ perimeters of ∆ ABC = Perimeter of ∆ DEF

(ii) In this case, we have drawn two triangles ABC and PQR which are not congruent.

Such that

Adding both sides, we get

AB + BC + AC ≠ PQ + QR + PR

⇒ the perimeter of ∆ ABC ≠ the perimeter of ∆ PQR.

From the above, we can say that if two triangles are not congruent then the perimeter is also not equal.

**Video Solution:**

## In a squared sheet, draw two triangles of equal areas such that (i) The triangles are congruent. (ii) The triangles are not congruent. What can you say about their perimeters?

### Class 7 Maths NCERT Solutions - Chapter 7 Exercise 7.2 Question 7

In a squared sheet, draw two triangles of equal areas such that (i) The triangles are congruent. (ii) The triangles are not congruent.

What can you say about their perimeters?

Two triangles that are congruent will have the same perimeter.