Hi everyone, stay safe, I need help on this, it’s about Triangles.

Right scalene triangle

Acute equilateral triangle

Step-by-step explanation:

For the first triangle, we will use the Converse of the Pythagorean Theorem:

If c² < a² + b², then it means that it is an acute triangle.

If c² = a² + b², then it means that it is a right triangle.

If c² > a² + b², then it means that it is an obtuse triangle.

For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd

c² = a² + b²

25² = 7² + 24²

625 = 49 + 576

625 = 625 (True statement).

Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle.  Therefore, the first triangle is an example of a right scalene triangle.  

For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.

Let's see which type of triangle it is according to its sides:

c² = a² + b²

32² = 32² + 32²

1024 < 2048  

Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.

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answer: c is correct, a regular pentagon

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.