The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?

Q: The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?

We know that in any triangle "the sum of two sides is always greater than its third side" and "the difference of two sides is always less than its third side". (i) 2 + 3 is not greater than 5 (ii) |5 - 2| not less than 3

2, 3, 4
2, 3, 5
2, 4, 5
3, 4, 5

Correct Answer: 2, 3, 5

Explanation:

We know that in any triangle
"the sum of two sides is always greater than its third side" and
"the difference of two sides is always less than its third side".
(i) 2 + 3 is not greater than 5
(ii) |5 - 2| not less than 3

More Questions from Area

The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?
A triangle with three equal sides has its area equal to 3√3 sq cm . Find its perimeter .
The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle .
The perimeter of an equilateral triangle is 90 cm. Find its area.
The area of an equilateral triangle is √ 243 /4 sq cm. Find the length of its side.
The diagonals of a squares is 4√2 cm. The diagonal of another square whose area is double that of the first square is
The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.
If the sides of a squares is increased by 25%, then the area of the squares will be increased by
The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?
A cost of cultivating a square field at a rate of ₹ 135 per hectare is ₹ 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe

Discussion & Comments

No comments yet. Be the first to comment!