Respuesta :

houskakaty

Answer:

the Pythagorean theorem states:  

a^2 + b^2 = c^2  in your case a=24 and c=40

Step-by-step explanation:

24^2 + b^2 = 40^2

24x24 + b^2 = 40x40

(576 + b^2 = 1600)  

b^2 = 1600 - 576

b^2 = 1024

b= √1024

b = 32

Final answer: 32

The length of b is 32 units in triangle ΔABC.

What is Pythagoras theorem?

Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.

a² + b² = c²

Given data as :  a=24 and c=40

Substitute the values of a and c in the equation,

24² + b² = 40²

24x24 + b² = 40x40

(576 + b² = 1600)  

b² = 1600 - 576

b² = 1024

b= √1024

b = 32

Hence, the length of b is 32 units.

Learn more about Pythagoras theorem here:

brainly.com/question/343682

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