Question

What is the area of the square that shares a side with the third side of the triangle?​

Answer 1

Explanation:

Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :

c² = a² + b²

c² = 2² + 4²

c² = 4 + 16

c² = 20

c = √20

Side of square is √20 units.

The area of square :

A = s²

= √20²

= √20 × √20

= 20 units²

So, the area of square is 20 units²

Hope it helpful and useful :)