The width of Estelle's rectangular living room is 4 meters, and the distance between opposite corners is 7 meters. What is the length of Estelle's living room? If necessary, round to the nearest tenth.

Respuesta :

Answer:

5.7 meters

Step-by-step explanation:

Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.

7 is the hypotenuse and 4 is the side length

4^2+x^2=7^2

16+x^2=49

sqrx=sqr(49-16)

x=sqr33

x=5.74

Rounded to the nearest tenth is 5.7