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
noDDIN​

Answer 1

Refer to the attachment.

Answer 2

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

Correct option is 50 cm