Question

The perimeter of a triangle is 65 cm. The

Answer 1

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The longest side measures :

• $27\: \: cm$

$\large \boxed{ \mathfrak{Explanation}}$

Perimeter of a triangle is equal to sum of measures of its all three sides, that is :

• $x + x + 8 + x + 12$

and according to the question, the perimeter of the triangle is = 65 cm

so, let's equate both the expressions to find value of x :

• $x + x + 8 + x + 12 = 65$
• $3x + 20 = 65$
• $3x = 65 - 20$
• $3x = 45$
• $x = 45 \div 3$
• $x = 15$

The longest side of the Triangle is :

• $x + 12$
• $15 + 12$
• $27 \: \: cm$

Answer 2

27cm

Step-by-step explanation:

(xcm) + (x+8cm) + ( x+ 12cm) = 65cm

Open Bracket

xcm + x+8cm + x+12cm = 65cm

3x+ 20cm = 65cm

Collect like terms

3x = 65cm - 20cm

3x = 45cm

Divide both sides by 3

3x/3 = 45cm/3

x = 15cm

The longest side of the triangle =( x+12cm)

= (15+12)cm= 27cm