Question

Allie plans to use four triangles like the one shown to form a diamond shape.

3cm 6cm 4cm

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

Use the converse of the Pythagorean theorem. If the triangle were right, the square of the longest side (6 cm) would equal the sum of the squares of the other two sides:

6^2 = 36, while 3^2 + 4^2 = 9 + 16 = 25.

Since 36 ≠ 25, the triangle is not a right triangle.