Q2 A of 59 Page 195

Let's observe the length of the following sides and let's write in which cases it is possible to draw a triangle

(3 cm, 6 cm and 8 cm)


Let


First side, = 3cm,


Second Side, = 6cm


Third Side, = 8cm


We know that,


The Triangle Inequality Theorem,



So, we have a = 3cm, b = 6cm and c = 8cm


Now, we have to check that these given sides satisfy the triangle inequality or not.


3 + 6 = 9 > 8


3 + 8 = 11 > 6


6 + 8 = 14 > 3


Yes, through the given lengths we can draw a triangle.


More from this chapter

All 59 →
2 Let's

If the length of two sides of triangle are 3 cm and 6 cm then let's find the length of the third side that will lie between which two numbers.

 1

Let's prove logically step-by-step that the difference of the lengths of any two sides of a triangle is less than the length of the third side.

 2 B

Let's observe the length of the following sides and let's write in which cases it is possible to draw a triangle

(8 cm, 6 cm and 15 cm)


 2

Let's observe the length of the following sides and let's write in which cases it is possible to draw a triangle

(2.7 cm, 6.1 cm and 8.8 cm)