Question

construct a triangle whose perimeter is 13.5cm and the ratio of three sides is 2:3:4

Answer 1

Answer:

AB = 3

BC= 6

AC= 4.5

Step-by-step explanation:

Since we are given that  the ratio of three sides is 2:3:4

Let the ratio be x

So, sides = 2 x , 3 x , 4 x

Perimeter of triangle = Sum of all sides

Since we are given that perimeter is 13.5cm

⇒$2x+3x+4x =13.5$

⇒$9x =13.5$

⇒$x =\frac{13.5}{9}$

⇒$x =1.5$

So, the sides will be :

$2x = 2\times1.5 = 3$

$3x = 3\times1.5 = 4.5$

$4x = 4\times1.5 = 6$

Refer the attached figure: the triangle ABC is constructed over there .

Sides :

AB = 3

BC= 6

AC= 4.5

Answer 2

Step-by-step explanation:

the sides are : 3cm,4.5cm and 6cm

Now construct the triangle with the reqd sides