Answer:
A. Right triangle
Explanation:
For problems like this, make use of the Pythagorean Theorem to determine which triangle can be formed.
Thus, there are always 3 sides in a ∆, as we've been given in the question above. The following rule can be use to find out which triangle can be formed:
1. If a² + b² = c², a right triangle is formed.
2. If a² + b² > c², an acute triangle is formed.
3. If a² + b² < c², an obtuse triangle is formed.
Where, c is always the longest side, while a and b are the 2 other shorter side lengths compared to c.
From the question given,
a = 24
b = 45, while
c = 51
Let's find out which of the 3 rules this side lengths fit in, to determine the triangle they form.
24² + 45² ? 51²
576 + 2025 ? 2601
2601 = 2601 (this fits into rule 1 stated above)
Therefore, the side lengths given in the question would form a right triangle.