From the image, we see a triangle with:

• Two angles labeled $42.5^\circ$, which makes the third angle also $42.5^\circ$ since the sum of angles in a triangle is $180^\circ$.
• Two sides of $3.8 \, \text{in}$, which means the triangle is isosceles because two of its sides are of equal length.

The correct statement that describes this triangle is:

"It is an isosceles triangle because two of the sides are the same length."

Would you like a breakdown of why other options are incorrect? Let me know!

Here are five related questions to deepen understanding:

1. What are the key properties of an isosceles triangle?
2. How do you calculate the third angle of a triangle when two angles are known?
3. What distinguishes acute, right, and obtuse triangles?
4. Can a triangle be both isosceles and right? Why or why not?
5. How do we use the Pythagorean theorem to verify if a triangle is a right triangle?

Tip: Always verify a triangle’s angles sum to $180^\circ$ to ensure its classification is correct.