Respuesta :
For this, we will be using the pythagorean theorem, which is [tex] leg^2+leg^2=hypotenuse^2 [/tex] . Since we have the hypotenuse and one of the legs, we can solve for the other leg. Our equation will look like this: [tex] x^2+60^2=100^2 [/tex]
Firstly, solve the exponents: [tex] x^2+3600=10000 [/tex]
Next, subtract 3600 on both sides: [tex] x^2=6400 [/tex]
Next, square root both sides, and your answer will be x = 80 units
The Pythagorean Theorem: a^2 + b^2 = c^2
a^2 = c^2 - b^2 where a and b = legs and c = hypotenuse
a^2 = 100^2 - 60^2
a^2 =10000 - 3600
a^2 = 6400
a= √6400
a = 80
Answer
The length of the other leg = 80 units