Question

Can someone help please

Answer 1

Answer:

14.5 units

Step-by-step explanation:

we need to find the length of the rectangle. To do that, we must find the hypotenuse of the right triangle below the rectangle.

Finding the hypotenuse of a right triangle uses the Pythagorean theorem, or a² + b² = c²

let a be 9 and b be 7.

9² + 7² = c²

81 + 49 = c²

130 = c²

√130 = c

c = approx. 11.4

Now, we know the length of the rectangle.

Once a rectangle is cut diagonally, it forms 2 equal right triangles. We will use the same process to find the hypotenuse of the second right triangle.

9² + 11.4² = c²

81 + 130 = c²

81 + 130 = approx. 211

c² = 211

√211 = c

c = approx. 14.5