Question

ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
2 points

Answer 1

Answer:

82cm

Step-by-step explanation:

since it is a rectangle the diagonals bisect each other and are equal

from the eq. we get ,

5x+1=4x+9

5x-4x=9-1

x=8

putting the values into the eq.

we get 41=41

multiply by 2 to get value of diagonals

ie 41×2= 82