One leg of a right triangle is 4 cm the hypotenuse is 10 cm how long it the other leg

I hope this will work.

9.17cm

Since it is a right angle triangle, we can use Pythagoras Theorem to find the missing leg.


Formula 

a² + b² = c², c being the hypotenuse.

The hypotenuse, denoted by c, is 10cm. One leg, denoted by a, is 4cm.  Apply the formula and solve for the other leg, denoted by b.


Solve the missing side

a² + b² = c²
4² + b² = 10²
16 + b² = 100             ←subtract 16 from both sides
-16           -16
b² = 84                       ←square root both sides
b = √84
b = 9.17 (nearest hundredth)

So the other leg, denoted by b, is 9.17cm


9.17 cm