Question

I need help i’m failing math!!!

Answer 1

Answer:

$\huge\boxed{\bf\:2\sqrt{5} \:\: units }$

Step-by-step 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 $\sqrt{10}$ units.

We know that, a square has all equal sides. Then, all the sides of the square will be equal to $\sqrt{10}$ 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 $\bf\:\sqrt{2}$.

By using this formula,

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

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

$\rule{150pt}{2pt}$