A triangle has an area of 360 square feet. The height is 36 feet. What is the length of the base (in feet)?


(Please help, I suck at math '=w=)

Respuesta :

Step-by-step explanation:

Length of base = 20cm

We will take the base as "b"

Area of a triangle = 1/2 x base x height

So the total area = 360 square feet

360 square feet = 1/2 x b x 36

360 = 36b /2

360 = 18b

b = 360/18

b = 20

So, Length of base = 20 cm

Let's check:

1/2 x 20 x 36 = 360

Which is the correct area!

Hope this helps!

Lanuel

The length of the base of a triangle (in feet) is equal to 20 feet.

Given the following data:

  • Area of triangle = 360 square feet.
  • Height of triangle = 36 feet.

To calculate the length of the base of a triangle (in feet):

Mathematically, the area of a triangle is given by the formula:

[tex]Area = \frac{1}{2} \times base \times height[/tex]

Substituting the given parameters into the formula, we have;

[tex]360 = \frac{1}{2} \times base \times 36\\\\720 = base \times 36\\\\Base = \frac{720}{36}[/tex]

Base = 20 feet.

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