If a triangle has a hypotenuse with a length of 12 cm and a leg with a length of 10 cm,
how long is the other leg rounded to the nearest tenth?

6.6

Step-by-step explanation:

The relationship between the sides of a triangle is a^2 + b^2 = c^2, where c is the hypotenuse. Here, c = 12 and a = 10, so...

10^2 + b^2 = 12^2

100 + b^2 = 144

b^2 = 44                               subtract 100 from both sides

b =                                 take the square root of both sides

b = 6.63324

b = 6.6                                  round to the nearest tenth

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