Question

in a rombus ABCD, AB=5cm, OD=3cm, find the length of the diagonal AC​

Answer 1

Answer:

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

The diagonals of a rhombus intersect at the right angle.

half of each diagonal and the length of the side will form as a right-angle triangle.

Diagonal =8 cm.

$\huge \: \frac{1}{2} of \: the \: diagonal = \frac{8}{2} = 4cm$

$= > \huge \: {a}^{2} + {b}^{2} = {c}^{2}$

$= > \huge \: {a}^{2} + {4}^{2} = {5}^{2}$

$= > \huge {a}^{2} - 25 = 16$

$= > \huge {a}^{2} = 9$

$= > \huge \: a = \sqrt{9}$

$= > \huge \: a = 3$

Length of the diagonal =

°• the diagonal =3×2=6 cm

Thus The Length Of The Diagonal Is 6cm