Question

PLZZ HELPPPP!!!! The floor of a rectangular living room is 12 meters by 5 .What isthe distance between oppisite corners of the living room.

Answer 1

13 ft.

Explanation:

We can use the Pythagorean Theorem to solve this problem. The diagonals (lines from corner-to-corner) form the hypotenuses of two right triangles.

The Pythagorean states, a² + b² = c²; with a and b being the legs and c being the hypotenuse.

a = 12

b = 5

c = ?

12² + 5² = c²

144 + 25 = c²

169 = c²

√169 = √c²2

13 = c

c = 13

Here is a crude diagram showing what the room looks like with a diagonal:

____

| \ |

| \ |

a | c \ |

|___\|

b

Hope this helps!