Question

ABCD is a rectangle AC is diagonal. Find the nature of triangle ACD. Give reasons​

Answer 1

Answer:

ACD IS A RIGHT ANGLED TRIANGLE

angle D is 90°

Answer 2

The $\triangle ACD$ is a right angle triangle.

Step-by-step explanation:

Given,

$ABCD$ is a rectangle $AC$ is diagonal.

The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles. Opposite angles of a rectangle are congruent.

If we are join $A$ and $C$ then $AC$ diagonal divide the rectangle into two equal parts and both are triangle.

In $\triangle ACD$ and $\triangle ABC$ as shown in figure,

One angle have $90$° or right angle.

So, In $\triangle ACD$,

$\angle ACD=90$°

So, The $\triangle ACD$ is a right angle triangle.