Question

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A baker is baking a giant cookie in the shape of a equilateral triangle what is the area of the cookie if the base is 17 inches and the height is 10 inches

Answer 1

85 square inches.

Explanation:

The area of a triangle can be found by the formula
`1/2bh`, assuming b is the base and h is the height.

If b is 17 inches and h is 10 inches:

`1/2(17)(10)`

`1/2(170)`

`A = 85`

Therefore, the area is 85 square inches.

Answer 2

To find the area of an equilateral triangle, you can use the formula A = (sqrt(3)/4) x side^2, where A is the area and side is the length of one of the sides of the triangle. In this case, we know that the base of the triangle is 17 inches and the height is 10 inches.

To find the length of one of the sides, we can use the Pythagorean theorem. Since this is an equilateral triangle, all sides are equal in length. Let's call the length of one side "x". We know that the height (which is also one of the sides) is 10 inches, so we can set up a right triangle with one leg being x/2 (half of one side) and the other leg being 10 inches. The hypotenuse (the other side of the equilateral triangle) is x.

Using the Pythagorean theorem:

(x/2)^2 + 10^2 = x^2
x^2/4 + 100 = x^2
100 = 3x^2/4
400/3 = x^2
x = sqrt(400/3)

Now that we know the length of one side, we can plug it into the formula for area:

A = (sqrt(3)/4) x (sqrt(400/3))^2
A = (sqrt(3)/4) x (400/3)
A = 100sqrt(3)/3

Therefore, the area of the giant cookie in the shape of an equilateral triangle with a base of 17 inches and a height of 10 inches is approximately 57.74 square inches.