Question

The length of three sides of triangle ABC are 6 cm, 4cm 9cm. Triangle DEF is similar to triangle ABC. The length of one of the sides of triangle DEF is 36cm .What is the greatest perimeter possible for triangle DEF

Answer 1

Traingle ABC ~ Triangle DEF

Let, AB = 6
BC = 4
CA = 9

So that we get the largest perimeter, let's have BC ~ EF(36 cm)

So, after calculating, we get
DE = 54
EF = 36
FD = 81

Perimeter = 54 + 36 + 81 = 171 cm

Answer 2

$\huge\boxed{{{Answer:-}}}$

Traingle ABC (≈) Triangle DEF

≈ this symbol refers congruent

• AB = 6
• BC = 4
• CA = 9

BC ≈ EF(36 cm)

Then'''......

• DE = 54
• EF = 36
• FD = 81

Therefore, Perimeter = 54 + 36 + 81 = 171 cm