contestada

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 12 inches. side b has a length of 12 inches. side c has a length of 8 inches. The altitude to side c has a length of X inches.

Respuesta :

Using the Pythagorean Theorem, the altitude to side c has a length of 11.3 inches.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

To find the altitude relative to side c, we bisect this side, which cuts it's length into half(now of 4 inches), forming a right triangle in which:

  • The altitude is the other leg.
  • The side of 12 inches is the hypotenuse.

Hence:

[tex]x^2 + 4^2 = 12^2[/tex]

[tex]x = \sqrt{12^2 - 4^2}[/tex]

x = 11.3 inches.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

#SPJ1

Otras preguntas