Question

ABCD is a rectangle whose diagonals are (2x+6)cm and (3x-6)cm find x and length of diagonals

Answer 1

Answer:

x = 12 and length of diagonals are 30 cm each

Step by step explanation:

The diagonals of rectangle are of equal length

this means diagonal (2x+6)cm and (3x-6)cm are equal

2x+6 = 3x-6

6+6 = 3x - 2x

12 = x

x = 12

length of diagonals are

2x+6 = 2*12+6

= 24+6

= 30 cm

3x-6 = 3*12-6

=36 -6

= 30 cm