Determain the langth of the thierd side of a triangle from the choises provided if the first two sides measure 10 and 12(1point)

Question

30
24
22
15

Answer 1

To find the length of the third side of a triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the first two sides measure 10 and 12. Let x be the length of the third side.

So, we can set up the inequality:
10 + 12 > x
22 > x

Therefore, the third side must be less than 22 units in length.

From the choices provided, the closest value less than 22 is 15.

So, the length of the third side of the triangle is 15.

Correct answer: 15.