Respuesta :

Answer:

25

Step-by-step explanation:

this is a right triangle so you can use the Pythagorean Theorem where the sum of the square of each leg is equal to the square of the hypotenuse

missing length is a leg and we can assign the variable 'a'

the other leg can be 'c' and the hypotenuse can be 'c'

a² + 35² = 43²

a² + 1225 = 1849

subtract 1225 from each side to get:

a² = 624

take the square root of each side to get:

a = [tex]\sqrt{624}[/tex]

[tex]\sqrt{624}[/tex] is equal to 25 by the nearest tenth

The answer is 25.. by using Pythagoras theorem... Hypotenuse squared= opposite squared plus Adjacent squared