Question

Is it possible to have a triangle with sides 2 cm , 3 cm , 4 cm ? Give Reason

Answer 1

Question

Is it possible to have a triangle with sides 2 cm, 3 cm, 4 cm. Give Reasons for your answer.

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Answer

So we have to add all the possible numbers that can be added and compare the sum with the third number.

2+3 = 5

∴ 5 > 4

3+4 = 7

∴ 7 > 2

2+4 = 6

∴ 6 > 3

Since the sum is greater than the remaining numbers, it is possible to have a triangle with sides 2 cm, 3 cm and 4 cm.

$\rule{300}{1}$

Additional Information

Triangle is a simple closed polygon with three line segments. It consists of three sides, three angles and three vertices.

Triangles can be classified on the basis of their sides and angles.

Types of Triangle on basis of Sides are ⇒

• Equilateral Triangle ⇒ All three sides are of the equal length.
• Isosceles Triangle ⇒ Two sides are of equal length.
• Scalene Triangle ⇒ All three sides have a different measure.

Types of Triangle on the basis of Angles are ⇒

• Acute Angle Triangle ⇒ All the angles are acute angles.
• Right Angle Triangle ⇒ This triangle has one right angle.
• Obtuse Angle Triangle ⇒ This triangle has one obtuse angle.

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Answer 2

Answer:

✡ Given ✡

$\leadsto$ A triangle with sides is 2 cm, 3 cm, 4 cm.

✡ Solution ✡

➡ Yes, it is possible to draw a triangle whose having sides is 2 cm, 3 cm, 4 cm because sum of two sides are greater than third side.

$\mapsto$ 2 + 3 = 5

$\implies$ 5 > 4

$\mapsto$ 3 + 4 = 7

$\implies$ 7 > 2

$\mapsto$ 2 + 4 = 6

$\implies$ 6 > 3

Step-by-step explanation:

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