Question

Pls help i’m so confused!!

The areas of the squares adjacent to two sides of a right triangle are shown below.

What is the area of the square adjacent to the third side of the triangle?

Answer 1

11 units^2

Explanation:

We know that the area of a square is the side squared, so we can use the inverse of this formula to say the side of a square is the square root of the the area. This gives us√33 and √44 as the side lengths of the red and green squares respectively. Next, we use the pythagorean theorem to find the other side of the white right triangle, which is also a side of the blue square. So:

(√44)^2 - (√33)^2 = side^2

44 - 33 = side

side^2 = 11

side = √11

To find the area of a square, you just square the side, so we get (√11)^2 which is just 11 units^2.