Does anyone know these two they both have the same answer choices please help

7. yes, obtuse

8. no triangle

Step-by-step explanation:

7.

3, 7, 9

Do these side lengths form a triangle?

Add the two smaller numbers: 3 + 7 = 10

Since 10 is greater than 9, these three side lengths do form a triangle.

Now we qualify the triangle.

c^2 ? a^2 + b^2

The ? is there because we don';t know yet if it will be =, >, or <.

9^2 ? 3^2 + 7^2

81 ? 9 + 49

81 ? 58

Since 81 is greater than 58, now we know to use >.

81 > 58

Since c^2 is greater than a^ + b^2, the triangle is obtuse.

Yes these side lengths form a triangle, and the triangle is obtuse.

8.

4, 11, 16

Add the two small lengths: 4 + 11 = 15

Since 15 < 16, these three side lengths do not form a triangle.

no triangle