In square MNOP, the area is 36cm. Find the length of diagonal MO.

Question

I'm very confused on how to do this, someone help asap please!

Answer 1

We are given the area of the square 36 sq cm and the area of a square is Side squared we can take the square root of both and get s=6. The diagonal will be hyp. of an isosceles right triangle with the two legs having a length of 6 cm. Let h = hyp and use the pythagorean theorem

6^2 + 6^2 = h^2 square both 6s and add to get 72, then take the square root of both sides√

√72 = h which simplifies to 6√2

Answer 2

Since the area of the square is 36. We find the square root of 36 to find the length of the sides.

The square root of 36 is 6. so the side length for all sides is 6.

To find the diagonal, just use the Pythagorean theorem.

6^{2 +} 6²⁼ c²

72= c²

^{so c = The square root of 72. This reduces to 6 root 2}

Which reduces to 6