Aylissa plans to use four triangles like the one shown to form a diamond shape. For her plan to work, the triangle must be a right triangle. Determine whether the triangle is a right triangle. Show your work. (1 point) The triangle a right triangle.

Answer 1

To determine whether a triangle is a right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The formula is:

\[ c^2 = a^2 + b^2 \]

where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides.

Let's say the lengths of the sides of the triangle are given as follows:

• Side \(a\)
• Side \(b\)
• Side \(c\) (the longest side)

Now, calculate \(a^2\), \(b^2\), and \(c^2\):

1. Calculate \(a^2 + b^2\).
2. Compare it with \(c^2\).
3. If \(c^2 = a^2 + b^2\), then the triangle is a right triangle. Otherwise, it is not.

If you provide the lengths of the sides of the triangle, I can help you carry out the calculations to determine if the triangle is a right triangle.