Respuesta :

Answer:

10

Step-by-step explanation:

Pythagorean theorem

c² = a² + b²

26² = a² + 24²

a² = 26² - 24² = 100

a = √(100) = 10

The length of unknown leg will be a = 10 units

Concept

  • The right angle triangle is given and the length of one side and length of hypotenuse are given
  • We have to find the length of second side
  • Since the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.

How to solve this problem?

The steps are as follow:

  • The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a'
  • According to pythagorean theorem:

(hypotenuse)^2 = (Side)^2 + (Side)^2

(26)^2 = (24)^2 + (a)^2

676 = 576 + (a)^2

(a)^2 = 676 - 576

(a)^2 = 100

a = 10 units

So the length of unknown leg will be a = 10 units

Learn more about pythagorean theorem here:

https://brainly.com/question/654982

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