Square Diagonal Properties: Classifying Triangles ABC and ACD

Question

ABCD is a square with AC as its diagonal.

What kind of triangles are ABC and ACD?

(There may be more than one correct answer!)

00:00 How can we define the triangles formed by the diagonal of a square

00:03 In a square all angles are right angles

00:07 A triangle with a right angle is a right triangle

00:10 The diagonal in a square bisects the angle

00:14 A triangle with equal base angles is isosceles

00:19 The same thing happens in the second triangle,

00:22 And this is the solution to the question

Since ABCD is a square, all its angles measure 90 degrees.

Therefore, angles D and B are equal to 90°, that is, they are right angles,

Therefore, the two triangles ABC and ADC are right triangles.

In a square all sides are equal, therefore:

$AB=BC=CD=DA$

But the diagonal AC is not equal to them.

Therefore, the two previous triangles are isosceles:

$AD=DC$

$AB=BC$

Right triangles