Question

Please HELP I AM SO CONFUSED IT would Mean the WORLD IF YOU COULD HELP

A toy manufacturer is designing a new triangular-shaped toy. The company would like the toy to have a specific area. The company specified that the area of the toy must be 60 square inches and the length of the base must be 12 inches. Formula: A= b x h/2
Use your equation/formula to determine the height of the new toy.

Answer 1

Answer: height = 10 inches

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Step-by-step explanation:

To get the area of a triangle, we multiply the base (b) by the height (h), then we divide by 2. That leads to the value of A.

So that explains the equation A = b x h/2 which is the same as A = b*h/2

We can multiply both sides by 2 to get 2A = b*h

This flips to b*h = 2A

If we divide both sides by b, then we get the formula

h = 2A/b

The variable h is isolated on its own side.

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Next, we'll plug in the given area of A = 60 square inches and the base of b = 12 inches.

This leads to a height of...

h = 2A/b

h = 2*60/12

h = 120/12

h = 10

The height must be 10 inches.

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Let's check the answer

So we are given the base of b = 12 and we just found the height to be h = 10.

The area of the triangle is...

Area = (base*height)/2

A = (b*h)/2

A = (12*10)/2

A = 120/2

A = 60

Since we get the proper area, this confirms we have the correct height.