Question

In a rectangle ABCD, AB = 4 cm and BC = 3 cm. Find the length of the diagonals AC and BD.

Answer 1

5

Explanation:

Triangle ABC≅ Triangle DAB

use pytahgorean theorem:

ac^2=ab^2+bc^2

ac=
`\sqrt{ab^2+bc^2\\]`

ac=
`√(4^2+3^2)`

ac=
`√(16+9)`

ac=
`√(25)`

ac=5

ac=bd=5 by congruency rules