Question

Question #29971

Answer 1

`a=(dsqrt2)/2`

Explanation:

.

Triangle `DeltaABC` is an isosceles right triangle. This means:

`/_B=90^@`

`AB=BC=a`

The Pythagorean formula says:

`d^2=a^2+a^2`

`d^2=2a^2`

`a^2=d^2/2`

`a=d/sqrt2=(dsqrt2)/2`

Answer 2

You can divide the diagonal by `√2`

Explanation:

Use pythogoras theroem
You get,
`(side)^2 + (side)^2 = +(diagonal)^2`
`2(side)^2 = (diagonal)^2`
`sqrt[2(side)^2] = diagonal`
`sqrt2*side = diagonal`
With this relation you can get what you want.