Pls solve fast and the diagram for this question is the second one Q (b) In figure (ii) given - Maths - Congruency of Triangles

Question

Pls solve fast and the diagram for this question is the second
one
Q (b) In figure (ii) given below, ABCD is a quadrilateral in which
AB = AD, ∠ A = 90 ° = ∠ C , BC = 8 cm and CD = 6 cm
Find AB and calculate the area of △ ABD
(i)

(ii)

Anuradha Sharma · Accepted Answer

Hi,
In right angle triangle BCD,Using pythagorus theorem,  BD2= BC2+CD2BD=  BC2+CD2=36+64=10 cm Now in right angle traingle ABD, Using pythagorus theorem,  AB2+AD2=BD2now since AD =AB2AB2= 100AB = 52 cm area of triangle ABD = 12×AB×AD=AB22=25 cm2

Regards

Pls solve fast and the diagram for this question is the second one. Q.(b) In figure (ii) given below, ABCD is a quadrilateral in which AB = AD, ∠ A = 90 ° = ∠ C , BC = 8 cm and CD = 6 cm. Find AB and calculate the area of △ ABD. (i) (ii)

Pls solve fast and the diagram for this question is the second one.
Q.(b) In figure (ii) given below, ABCD is a quadrilateral in which AB = AD, $∠ A = 90 ° = ∠ C$ , BC = 8 cm and CD = 6 cm. Find AB and calculate the area of $△$ ABD.
(i)

(ii)