Question

length of a rectangle is 8 cm and each of its diagonal measure 10 cm the breadth of the rectangle islength of a rectangle is 8 cm and each of its diagonal measure 10 centimetre find the breadth of the rectangle ​

Answer 1

Answer:

Breadth is 6cm

Step-by-step explanation:

Length (DC or AB) = 8cm

Diagonal (AC) = 10cm

In the above photo, see triangle ACD, which is a right triangle we can apply Pythagoras theorem to find AD which is breadth

AC^2 = DC^2 + AD^2

10^2 = 8^2 + AD^2 ➡ AD^2 = 10^2 - 8^2

AD^2 = 100 - 64

AD^2 = 36

AD = 6cm

Answer 2

Step-by-step explanation:

length of rectangle is 8cm

length of diagonal is 10 cm

let breadth be x cm

x^2+8^2 =10^2

x^2 + 64=100

x^2=100-64

x^2=36

x=√36

x= 6

hence breadth of rectangle is 6 cm