If a house is 15 meters long and 12 meters wide how long is the diagonal of the house

19.21m  is the diagonal

Step-by-step explanation:

We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12

We can use the Pythagorean theorem

a^2 + b^2 = c^2

12^2 + 15^2 = c^2

144 +225 = c^2

369 = c^2

Take the square root of each side

sqrt(369) = sqrt(c^2)

19.209 =c

19.21 m = c

We can solve for the diagonal using its formula: D = √L² + W²

D = √15² + 12²

D = √225 + 144

D = √369

D = 19.209..

Round to the nearest hundredth.

19.209… -> 19.21 meters

Hence, the diagonal of the house is roughly 19.21 meters.

Best of Luck!