MATH SOLVE

7 months ago

Q:
# Find the length of a diagonal of a square with sides 10in. long

Accepted Solution

A:

Hey!!!

Answer is....

diagonals of square bisect each other at right angles.

let diagonal be 2x

Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...

[tex] {x}^{2} + {x}^{2} = {10}^{2} [/tex]

[tex]2 {x}^{2} = 100[/tex]

[tex] {x }^{2} = 50[/tex]

[tex]x = \sqrt{50} [/tex]

side of a diagonal=2 sqrt50

[tex] = 10 \sqrt{2} [/tex]

cm......

HOPE IT HELPS YOU '_'

Answer is....

diagonals of square bisect each other at right angles.

let diagonal be 2x

Using Pythagoras in a triangle enclosed by a side and 2 half diagonals...

[tex] {x}^{2} + {x}^{2} = {10}^{2} [/tex]

[tex]2 {x}^{2} = 100[/tex]

[tex] {x }^{2} = 50[/tex]

[tex]x = \sqrt{50} [/tex]

side of a diagonal=2 sqrt50

[tex] = 10 \sqrt{2} [/tex]

cm......

HOPE IT HELPS YOU '_'