Question

I need help i’m failing math!!!

Answer 1

`\huge\boxed{\bf\:2√(5) \:\: units }`

Explanation:

We have a figure given in the shape of a square with a diagonal (x) passing from one edge to another. We need to find the measure of its diagonal if the side of the square is
`√(10)` units.

We know that, a square has all equal sides. Then, all the sides of the square will be equal to
`√(10)` units.

Now, let's find the diagonal.

To find the diagonal of a sqaure from one of its sides, we need to know the formula ⟶ Diagonal = side
`\bf\:√(2)`.

By using this formula,

`Diagonal (x)\\= side *√(2) \\= √(10) *√(2)\\ = √(5*2*2) \\= \boxed{\bf\:2√(5) \:units}`

→ The diagonal of the square = 2√5 units.

`\rule{150pt}{2pt}`