Question

Can you make a triangle with lengths 10,7,15

Answer 1

yes

Explanation:

Answer 2

The formation of ∆ is possible .

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 ,

• a = 10
• b = 7
• c = 15

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.

Hence the formation of triangle is possible .