Question

ABCD is a rectangle AC is diagonal. find the nature of ACD. Give reason

Answer 1

the triangle ACD is equal to triangle ABC.
Because the diagonal divides the rectangle into two congruent triangles.

hope it helps

Answer 2

Answer:

Given: ABCD is a rectangle and AC is diagonal

To find: Nature of ΔACD

<ADC=90

∴As we know Diagonals bisect Angles

= <BAC = <DAC = 45

∴As we know that AB||CD and AD||BC

In AB||CD

= <BAC = <DCA = 45 (Alternate Interior Angles)

∴Angles of ΔADC are 45,45,90