👤

the hypotenuse of a right triangle is 20cm, and one leg is 16cm. Find the length of the other leg.​

Sagot :

Answer:

12 cm

Step-by-step explanation:

From  Pythagoras Theorem

h 2 = a 2 + b 2

where

  • h =  Length of hypotenuse side
  • a =  Length of one leg
  • b =  Length of another leg

( 20 cm ) 2  =  ( 16 cm )  2  +  b 2

b 2  =  ( 20 cm )2  −  (16 cm ) 2

b = √ ( 20 cm ) 2 − ( 16 cm ) 2

b = √ 400 cm 2 − 256 cm 2

b = √ 144 cm 2

b = 12 cm