Respuesta :

alinakincsem

Answer:

9.5 inches

Step-by-step explanation:

We are given that in a right angled triangle, one leg is 3 inches long while the hypotenuse is 10 inches long. We are to find the length of the other leg.

For this, we will use the Pythagoras Theorem.

Assuming x to be the length of the other leg.

[tex] 1 0 ^ 2 = 3 ^ 2 + x ^ 2 [/tex]

[tex]100=9+x^2[/tex]

[tex]x^2=91[/tex]

[tex]\sqrt{x^2} =\sqrt{91}[/tex]

x = 9.5

smmwaite

Answer:

9.53 inches

Step-by-step explanation:

In a right  angles triangle, the sum of the squares of the two legs (a and b) equals the square of the the hypotenuse.

a²+b²=c²

Substituting for the values provided in the question we get the following:

3²+b²=10²

b²=10²-3²

b²=91

b=9.53 inches.