Question

in a square ABCD,AC=(7x-2) cm and BD =(11x-10) cm .AC is equal to

Answer 1

In a Square, the Diagonals are Equal.
Therefore...
7x-2 = 11x-10
11x-7x = 10-2
4x = 8
x = 2.

Replacing "x" in 7x-2
we get AC = 7(2)-2
= 14-2
AC = 12.

Answer 2

Answer:

12cm

Step-by-step explanation:

Concept= Length of Diagonal of Square

Given= Length of diagonal

To find= Length of AC

Explanation=

We have been given a square with diagonals

Square is ABCD

The diagonals are AC and BD

The length mentioned of diagonals are

AC = 7x - 2 cm

BD= 11x - 10 cm

We know that in a square the length of diagonals are equal

Therefore AC=BD

7x -2= 11x - 10

10 - 2 = 11x - 7x

8=4x

x= 2cm

There fore the length of diagonals are

AC= 7x-2= 7*2 -2= 14-2= 12cm

BD= 11x-2= 11*2 - 10= 22-10= 12cm

So the length of AC is equal to 12cm

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