Question

in which of the following four cases , is construction of a triangle possible from the given measurements : (a) 5 cm , 8 cm and 3 cm . (b)14 cm , 6 cm , and 7 cm . (c) 3.5 cm , 2.5 cm, and 5.2 cm . (d) 20 cm , 25cm , and 48 cm.
​

Answer 1

$\color{red}\huge\bold\star\underline\mathcal{Hey\:Mate}\star$

$as \: we \: know \\ when \: the \: bigger \: side \: is \: smaller \: than \: \\ the \: sum \: of \: other \: two \: sides \: then \\ it \: forms \: a \: triangle.$

$(a)$

» 5 cm,8 cm and 3 cm

8 , 5+3

8 , 8

since, they are equal,they will not form a triangle.

( @ ) ✖

___________________________

$( \beta )$

» 14 cm,6 cm and 7 cm

14 , 6+7

14 , 13

since, 14 > 13

they will not form a triangle.

( ß ) ✖

__________________________

$( \: c \: )$

» 3.5 cm,2.5 cm and 5.2 cm

5.2 , 3.5 + 2.5

5.2 , 6.0

since, 5.2 < 6.0

they will form a triangle

( ¢ ) ✔

_________________________

$( \: d \: )$

» 20 cm,25 cm and 48 cm

48 , 20+25

48 , 45

since,48 > 45

they will not form a triangle.

( d ) ✖

______________________

〰〰〰〰〰〰〰〰〰〰〰〰〰〰

$<font color="red"><marquee>⭐thankS⭐</p><p>❤⭐SnehaG⭐❤</marquee></font>$

〰〰〰〰〰〰〰〰〰〰〰〰〰〰