Respuesta :

Answer:

28

Step-by-step explanation:

a^2+b^2=c^2

a^2+96^2=100^2

a^2+9216=10000

a^2=784

a^2= √784

a=28

Answer:

28 in.

Step-by-step explanation:

Let,

The unknown leg be = x

According to Pythagoras Theorem,

[tex] {hypotenuse}^{2} - {base}^{2} = {height}^{2} [/tex]

[tex] = > {100}^{2} - {96}^{2} = {x}^{2} [/tex]

[tex] = > {x}^{2} = 10000 - 9216[/tex]

[tex] = > {x}^{2} = 784[/tex]

[tex] = > x = \sqrt{784} [/tex]

=> x = 28

Hence,

the another leg is 28 in. (Ans)