Answer:
The formation of ∆ is possible .
Step-by-step explanation:
Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,
" Sum of any two sides of a triangle is Greater
than the third side "
Let ,
Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.
So , let's check ,
Case 1:-
→ a + b > c
→ 10 + 7 > 15
→ 17 > 15
Case 2:-
→ b + c > a
→ 7 + 15 > 10
→ 22 > 10
Case 3 :-
→ a + c > b
→ 10 + 15 > 7
→ 25 > 7
Since all the three cases are true Hence formation of ∆ is possible.
