Q2 Let's of 59 Page 194

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.

Here, we have given the length of two sides, i.e.

First side = 6cm and second side = 3cm


Now, let length of the third side be L


So, by Triangle Inequality Theorem



Now, we have a = 6cm and b = 3cm and we have to find c.


So,


a – b < c < a + b


⇒ 6 – 3 < c < 6 + 3


⇒ 3 < c < 9


Thus, c lies between 3 cm and 9 cm


Hence, the length of the third side (L) lies between 3cm and 9cm


More from this chapter

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1

Let's see what will be the length of the sticks which can make a figure like a triangle with the sticks of length 4cm and 6cm

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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.

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

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