Question

ABCD is a rectangle such
that its length is 8 cm
and the diagonal is 10cm.
Find the breadth.​

Answer 1

Answer:

$\huge\tt\underline{Question}$

ABCD is a rectangle such that its length is 8cm and it's diagonol is 10cm, find the breadth.

$\huge\tt\underline{given}$

length of the rectangle ABCD=8 cm

diagonals of the rectangle ABCD=10 cm

$\huge\tt\underline{to\:find}$

breadth of the rectangle

$\huge\tt\underline{solution}$

ABCD is the given rectangle in which AB= 8cm and diagonal AC= 10 cm.

Since,each angle of a rectangle is a right angle,

We have,

angle ABC= 90°

From right angled triangle ABC,we have

AB²+BC²=AC²

=>BC²= AC²-AB²={(10)²-(8)²}=(100-64)=36

=>BC=√36= 6cm

$\huge\tt\underline{answer}$

breadth of the rectangle is 6 cm.