What the answer question

A. Right triangle

Step-by-step 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.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6