Question

"The longest side of a triangle is twice the shortest side and third side is 3 cm longer than shortest side. If perimeter of triangle is more than or equal to 203 cm then minimum length of the shortest side is: * 45 cm 46 cm 48 cm 50 cm ​

Answer 1

Minimum length of the shortest side is 50 cm if The longest side of a triangle is twice the shortest side and third side is 3 cm longer than shortest side and perimeter of triangle is more than or equal to 203 cm

Given:

A triangle

The longest side of a triangle is twice the shortest side

Third side is 3 cm longer than shortest side

Perimeter is more than or equal to 203 cm

To Find:

Minimum length of the shortest side

Solution:

Perimeter of a triangle is sum of lengths of all three sides of the triangle.

Step 1:

Assume that Shortest side is x  cm

Then Longest sides = 2x  cm

and Third side = x + 3 cm

Step 2:

Perimeter of more than or equal to 203 cm

x + 2x + x + 3 ≥ 203

=> 4x ≥ 200

=> x ≥ 50

Hence, minimum length of the shortest side is 50 cm

Answer 2

Answer:-The shortest side of the triangle = 50 cm

Given in the question:-

Perimeter of the triangle is equal to or more than 203 cm.

We will let the shortest side of the triangle be = x cm

Longest side of the triangle = 2x cm (given the longest side of the triangle is twice the shortest side)

Third side of the triangle = x+3 cm (given the third side of the triangle is 3 cm longer than the shortest side)

We need to find the length of the shortest side of the triangle.

Solution:-

To find the length of the shortest side of the triangle we need to all all sides and then subtract them from the given perimeter.

Therefore,

x+2x+(x+3) = 203 cm

x+2x+x+3 = 203 cm

       4x+3 = 203 cm

        4x    = 203-3 cm

            x  = 200/4 cm

            x = 50 cm

Therefore, the shortest side of the triangle = 50 cm

To know more about the given topic please go through the following

Link1:- https://brainly.in/question/49665344?

Link2:- https://brainly.in/question/49672101?

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