Question

https://ldbellhs.owschools.com/media/g_geo_2015/8/groupi25.gif
a=2 square root 3 ft c-4 ft
find the area

Answer 1

More preciselyl, your base is a, and a= 2sqrt(3) ft, and c is 4 ft. Is this correct? You've written c-4 ft, which I can only assume means c=4ft.

Now if we assume that this is a right triangle (a very important assumption), then the Pythagorean Theorem applies. Here's the theorem:\[a^2+b^2=c^2\]

Answer 2

By subbing your knowns into this formula, find b^2, and then b. Remember that b can only be positive, because it's a length.

Answer 3

how do you do 2sqrt3 squared?

Answer 4

@mathmale

Answer 5

How do you find the square of 2?

Answer 6

12?

Answer 7

The square of 2 is (2)^2=4.

How do you find the square of sqrt(3) ?

Answer 8

3

Answer 9

is the area 4√3

Answer 10

Yes. And so, the square of 2sqrt(3) is 12.

Answer 11

How did you obtain 4sqrt(3) for the area? Does that look right to you?

What is the formula for the area of a triangle of base a and height b?
type out the formula first and then plug in the given numbers second.

Answer 12

4^2 is 16 - 12 is 4 so b=2 then 2*2sqrt3 =4sqrt3 then divide by two so 2sqrt3?

Answer 13

At this point we need the formula for the area of a triangle of base b and height h. Again I ask you to look that up and type it out here.

Note that we have the height of this triangle: It is b, and you have found b.
Note also that we have the base of this triangle. What is it?

What does the formula direct you to do with the base and the height to find the area of the triangle? If unsure, look up "area of a triangle."