Respuesta :

Answer:

12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)

a^2 + b^2 = c^2

Substitute the known values

5^2 + b^2 = 13^2

25+b^2 = 169

Subtract 25 from each side

25+b^2-25 =169-25

b^2 = 144

Take the square root of each side

sqrt(b^2) = sqrt(144)

b=12

Answer:

Given:

  • a = 5
  • c = 13

To find:

missing side b

Solution:

Using Pythagorean theorem,

(Hypotenuse² = base² + perpendicular²)

b² = c² - a²

= 13² - 5²

= 169 - 25

= 144

b = √144

= 12