sleblanc93
sleblanc93 sleblanc93
  • 31-03-2022
  • Mathematics
contestada

Use the Pythagorean Theorem to solve for the unknown side length x in the triangle.

Use the Pythagorean Theorem to solve for the unknown side length x in the triangle class=

Respuesta :

semsee45
semsee45 semsee45
  • 31-03-2022

Answer:

x = 15.20

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 5
  • b = x
  • c = 16

Substituting these values into the formula and solving for b:

⇒ 5² + x² = 16²

⇒ 25 + x² = 256

⇒ x² = 256 - 25

⇒ x² = 231

⇒ x = ±√(231)

⇒ x = ±15.19868415...

As distance is positive, x = 15.20 (nearest hundredth) only.

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