Q2 D Let 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

(2.5 cm, 8 cm and 6 cm)


Let


First side, = 2.5cm,


Second Side, = 8cm


Third Side, = 6cm


We know that,


The Triangle Inequality Theorem,



So, we have a = 2.5cm, b = 8cm and c = 6cm


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


2.5 + 8 = 10.5 > 6


2.5 + 6 = 8.5 > 8


6 + 8 = 14 > 2.5


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


More from this chapter

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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)


 1

D is any point on the side BC of

ABC. Let’s prove that AB+BC+CA>2AD


2

O is any point inside the triangle ABC. Let’s prove that

AB+AC>OB+OC