Question

In a square ABCD, AB= (2x+3) cm and BC= (3x-5) cm, find the length of the diagonal AC​

Answer 1

Answer:

19√2 cm

Step-by-step explanation:

In the square, the sides are equal so

2x+ 3 = 3x - 5

3x - 2x = 8

x = 8

AB = 2(8) + 3 = 19cm

BC = 19CM ( as sides of square are equal.)

AB² + BC² = AC²

19CM² + 19CM² = AC²

361 CM + 361 CM = AC²

722 CM = AC²

AC = √722 CM

AC = 19√2CM

Hope you liked the solution . Please mark me as brainliest.