If a house is 15 meters long and 12 meters wide how long is the diagonal of the house
2 answers:
Answer:
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!
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