If a right man triangle has legs that are both 12 cm long how long is the hypotenuse round the answer to the nearest hundredth
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the length of the hypotenuse and a and b are the lengths of the legs.
In this case, both legs are 12 cm long, so we can substitute those values into the formula:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse (c), we need to take the square root of both sides:
c = √288
c ≈ 16.97 cm
Rounding the answer to the nearest hundredth gives us a hypotenuse length of approximately 16.97 cm.