Question

Which of the following can be the sides of a triangle? Measurements of sides are given in centimetres

1. 8,10,18

2. 3,4,10

3. 35,38,40
Pls help I will mark you as brainlist

Answer 1

Answer:

1.it is a triangle

2.it is not a triangle

3.it is a triangle

Answer 2

Given,

Measurements of sides are given in centimetres

1. 8,10,18

2. 3,4,10

3. 35,38,40

To Find,

Which of the following can be the sides of a triangle?

Solution,

We can solve this question using the given method:
The Triangle Inequality Theorem states that "the sum of any two sides of a triangle is always greater than the third side."

Now,

Considering the first option: 8, 10, 18

$8 + 10 = 18$

Here, the sum of the first two sides is equal to the third side. Hence, it is NOT a triangle.

Considering the second option: 3, 4, 10

$3 + 4 = 7 < 10$

Here, the sum of the first two sides is less than the third side. Hence, it is NOT a triangle.

Considering the third option: 35, 38, 40

$35 + 38 = 73 > 40\\35 + 40 = 74 > 38\\38 + 40 = 78 > 35$

Here, the sum of any two sides is always greater than the third side. Hence, it is a triangle.

Therefore, option 3. 35, 38, 40 are the sides of a triangle.