A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C

Question

Archy [21]

3 years ago

14

A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C

) Can't be determined D) Acute

Mathematics

2 answers:

Inessa [10] · Answer 1 · 2022-07-01T08:16:46+03:00

Inessa [10]3 years ago

6 0

Answer: D) Acute

Step-by-step explanation:

andre [41] · Answer 2 · 2022-07-01T06:12:43+03:00

Answer:

D: Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.