Question

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

Answer 1

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 $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

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:

$x^2 + 4^2 = 12^2$

$x = \sqrt{12^2 - 4^2}$

x = 11.3 inches.

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

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