Question

Determine whether the three lengths can form a triangle.

5, 15, 10

Answer 1

Answer:

some one said that this makes a straight line

Answer 2

Answer:

No.

Step-by-step explanation:

Given side lengths $a, b, c$. We can only form a triangle if two sides added up are larger than the third side.

So all three must be true:

$a + b > c\\a + c > b\\b + c > a$

We can see that if:

$a = 5\\b=15\\c=10$

We have:

$T: 5 + 15 > 10\\F: 5 + 10 > 15\\T: 10 + 15 > 5$

Since one of the equations is false, we cannot form a triangle.