Question

ABCD is a rectangle whose diagonals are (2x+6) cm and (3x +4) cm. Find the value of x and also
find the length of the diagonal.
sides​

Answer 1

Answer:

x= 2 and length of diagonals = 10 cm

Step-by-step explanation:

Length of diagonals in a reactangle are equal

2x + 6 = 3x + 4

2 = x

Diaognals, 2x + 6 = 10

3x + 4 = 10

Answer 2

Answer:

in recangle diagonals are equal

$2x + 6 = 3x + 4 \\ 6 - 4 = 3x - 2x \\ 2 = x$

$length \: of \: diagonal first \\ 2x + 6 = 2 \times 2 + 6 \\ = 4 + 6 \\ = 10 \\ length \: of \: diagonal \: second \\ 3x + 4 = 3 \times 2 + 4 \\ = 6 + 4 \\ 10$