Question

if triangle abc is equal to the triangle def and the perimeter of abc is 15 cm then find the perimeter of DEF

Answer 1

$\bf{\underline{Question:-}}$

if triangle abc is equal to the triangle def and the perimeter of abc is 15 cm then find the perimeter of DEF

$\bf{\underline{Given :-}}$

• if triangle ABC is equal to the triangle DEF.
• Perimeter of ABC is 15cm

So,

• Perimeter of ABC = Perimeter of DEF

$\bf{\underline{Solution :-}}$

Let,

• The side of ∆ be
• x , x + 1 , x + 2

we know,

Perimeter = Sum of all side

So

→ 15 = x + x + 1 + x + 2

→ 15 = 3x + 3

→ 15 - 3 = 3x

→ 12 = 3x

→ 12/3 = x

→ 4 = x

Now

• ⚔️ Substituting value of x in Considered sides of ∆

• 1st side = x = 4cm
• 2nd side = x + 1 = 4+1 = 5cm
• 3rd side = x + 2 = 4 + 2 = 6cm

Now,

Finding perimeter of ∆ DEF

$\bf{\underline{Given :-}}$

• ∆ ABC = ∆ DEF

➡️ perimeter of DEF = Sum of all sides

➡️ Perimeter = A + B + C

➡️ Perimeter = 4 + 5 + 6

• Perimeter = 15cm

$\bf{\underline{Hence :-}}$

• ⚔️ Perimeter of ∆ DEF is 15cm ⚔️