Question

The sides of a triangle are in the ratio 2 : 3 : 4. Find the length of the largest side of the triangle if perimeter of the triangle is 135m.​

Answer 1

Answer:

60

Step-by-step explanation:

2x+3x+4x=135

x=15

4x=4*15=60

Answer 2

$\dag\:\underline{\sf AnsWer :}$

• We are given a traingle whose sides are in the ratio 2:3:4. So, let's assume the sides of a triangle as 2x, 3x, 4x respectively and we are also given the perimeter of triangle = 135 m. We need to find length of the largest side of the triangle. So, first let's find the value of x :

$\bigstar\:\underline{\textbf{According to the Question Now :}}$

$:\implies \textsf{Sum of all sides of \Delta = Perimeter of \Delta }$

$:\implies\sf 2x + 3x + 4x = 135$

$:\implies\sf 9x = 135$

$:\implies\sf x =\dfrac{135}{9}$

$:\implies \underline{ \boxed{\sf x =15}}$

$\qquad \: \: \: \bigstar\:\underline{\textbf{Sides of triangle :}}$

$\bullet\:\textsf{First side of a triangle = 2x = 2(15) = \textbf{30 m}}$

$\bullet\:\textsf{Second side of a triangle = 3x = 3(15) = \textbf{45 m}}$

$\bullet\:\textsf{Third side of a triangle = 4x = 4(15) = \textbf{60 m}}$

$\therefore\:\underline{\textsf{The length of the largest side of the triangle is \textbf{60 m}}}.$