Question

answer
scalene acute
equilateral
isosceles right
isosceles acute
isosceles obtuse
scalene obtuse
scalene right

Explanation:

Step1: Check side - length equality

The side - lengths are 4.36, 8.34, and 6.94. Since all three side - lengths are different, the triangle is scalene.

Step2: Check angle types

We know that if \(a^{2}+b^{2}>c^{2}\) for all sides \(a\), \(b\), \(c\) of the triangle (where \(c\) is the longest side), the triangle is acute. Let \(a = 4.36\), \(b=6.94\), and \(c = 8.34\). Then \(a^{2}+b^{2}=4.36^{2}+6.94^{2}=19.0096 + 48.1636=67.1732\) and \(c^{2}=8.34^{2}=69.5556\). Also, if we check other combinations (e.g., with different longest - side assumptions), we find that the triangle has all acute angles.

Answer:

Scalene Acute