A triangle is shown with squares, 1,2 and 3 drawn on its side which measurements in units for the sides of the square show that the triangle is a right triangle
In order for a triangle to be a right triangle, it must satisfy the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the squares, labeled 1, 2, and 3, indicate that the sides of the triangle have lengths of 1 unit, 2 units, and 3 units. To determine if this triangle is a right triangle, we can check if it satisfies the Pythagorean theorem:
(1)^2 + (2)^2 = (3)^2
1 + 4 = 9
5 = 9
Since 5 does not equal 9, the triangle with sides of length 1, 2, and 3 is not a right triangle.