Respuesta :

Answer:

c = sqroot45

Put a 45 in the box under the square root.

Step-by-step explanation:

Use Pythagorean Theorem. See image.

Also, sqroot45 can be simplified. It 3root5, just in case they ask that next.

Ver imagen lpina68
jasongggg

Answer:

c=√45

Step-by-step explanation:

I'm assuming this question is before Pythagorean theorem so.

  1. Find the total area of the big square.
  2. Find the total area of the four right-angled triangles.
  3. Subtract the big square with the four right-angled triangles to find the area of the smaller square with sides 'c'.
  4. Lastly, square root (√) the value to find c. Because c²=area of smaller square.

Big square area:

[tex](3 + 6) \times (3 + 6) = 81[/tex]

All four right-angled triangles area:

[tex]4( \frac{1}{2} \times 3 \times 6) = 36[/tex]

Smaller square area:

[tex]81 - 36 = 45[/tex]

Value of c:

[tex] {c}^{2} = 45 \\ c = \sqrt{45} [/tex]