Question

b) 3, 5, 4
acute
right
obtuse
the segments do not form a triangle

Explanation:

Step1: Check triangle validity

Verify triangle inequality: $3+4>5$, $3+5>4$, $4+5>3$. All hold, so triangle exists.

Step2: Use Pythagorean theorem

Square the sides: $3^2=9$, $4^2=16$, $5^2=25$. Sum of smaller squares: $9+16=25=5^2$.

Step3: Classify the triangle

Since $a^2+b^2=c^2$, it is a right triangle.

Answer:

B. right