PLEASE HELP 50 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.

Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.

PLEASE HELP 50 POINTS BRAILYEST no links please The triangle is the picture down below Bonnie has a really yummy sandwich that is shaped like a right triangle T class=

Respuesta :

Answer:

  • 4 in

Step-by-step explanation:

Let the missing length is x.

According to Pythagorean, we have the following equation

  • [tex]x^2+3^2=5^2[/tex]
  • [tex]x^2+9=25[/tex]
  • [tex]x^2=25-9[/tex]
  • [tex]x^2=16[/tex]
  • [tex]x=\sqrt{16}[/tex]
  • [tex]x=4[/tex]

Answer:

Missing length = 4 in

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 = 3 in
  • b = ?
  • c = 5 in

Substitute given values into the formula and solve for ?:

⇒ 3² + ?² = 5²

⇒ 9 + ?² = 25

⇒ ?² = 25 - 9

⇒ ?² = 16

⇒ ? = √16

⇒ ? = 4 in