Exercise 11.4
Question 1
(i) $2 \mathrm{~cm}+3 \mathrm{~cm}=5 \mathrm{Cm}$ ⊁ 5cm
Sum of two sides must be greater than the third side, to form triangle"
∴ Triangle is not possible
(ii) $2.5 \mathrm{~cm}+4.5 \mathrm{~cm}=7 \mathrm{~cm} <8 \mathrm{~cm}$.
"In a triangle, sum of two sides must be greater than the third side"
∴ Triangle is not possible
(iii) $5.8+4.5=10.3 \mathrm{~cm}>10.2 \mathrm{~cm}$
"In a triangle , sum of two sides must be greater than the third side'
∴ Triangle is possible
(iv) $34 \mathrm{~cm}+4.7 \mathrm{~cm}=8.1 \mathrm{~cm}>6.2 \mathrm{~cm}$
"In a triangle , sum of two sides must be greater than the third side"
∴ Triangle is possible
Question 2
Given sides = 7cm, 10cm
Difference of sides = $10 \mathrm{~cm}-7 \mathrm{~cm}=3 \mathrm{~cm}$
Sum of sides = $10 \mathrm{~cm}+7 \mathrm{~cm}=17 \mathrm{~cm}$
Hence, the length of the third side of triangle must be greater than 3cm and less then 17cm
Question 3
(diagram to be added)
No
Sum of two angles
$30^{\circ}+30^{\circ}=60^{\circ}<120^{\circ}$
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