Respuesta :

hypotenuse ^2= leg1 ^2+ leg2 ^2

25^2= 24^2 + leg2  ^2

leg2 ^2= 25^2-24^2= 625- 576=49

⇒ leg = V49
 ⇒ leg= 7
Phytagoras' Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. If c represents the hypotenuse, a and b represent the two leg, the theorem could be written as below.
c² = a² + b²
a² + b² = c

From the question, we could get information that
c = 25
a = 24
and we should find the value of b

Plug in the numbers to the formula
a² + b² = c²
24² + b² = 25²
576 + b² = 625
b² = 625 - 576
b² = 49
b  = √49
b  = 7

The length of the other leg is 7
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