Question

ABCD is a rectangle with sides 8 cm and 10cm find the diagonal of the rectangle​

Answer 1

Step-by-step explanation:

Rectangle

Solve for diagonal

d≈12.81cm

l Length

8

cm

w Width

10

cm

Answer 2

Answer:

$2\sqrt{41}$ cms. or approximately 12.80624 cms.

Step-by-step explanation:

The diagonal of a rectangle can be found out using the pythagoras theorem, which states that when a and b are the sides of a right triangle, the hypotenuse side can be found out using the relation $a^2+b^2=c^2$

Even in this sum, a rectangle is two right angles and the diagonal is their hypotenuse. Hence, by pythagoras theorem,

$8^2+10^2=c^2$

$c=\sqrt{8^2+10^2}$

$c=\sqrt{164}$

Hence, the diagonal length is $2\sqrt{41}$cms. or, approx. 12.80624