Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or rig

Question

Amiraneli [1.4K]

2 years ago

8

Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or rig

ht.

Mathematics

1 answer:

Daniel [21] · Answer 1 · 2022-07-09T07:22:21+03:00

Daniel [21]2 years ago

3 0

Answer:

Yes, acute

Step-by-step explanation:

Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths. Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.