Question

I am confused? Can I have help please?

Answer 1

Hello!

area triangle = (b*h)/2

h = height

so:

12 = (b*h)/2

12 = (6*h)/2

12*2 = (6*h)/2*2

24 = 6h

h = 24/6

h = 4

The height = 4 cm

Answer 2

• Answer:

`\Large{\boxed{\sf height = 4cm }}`

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• Step-by-step explanation:

The area of a triangle is given by the following formula:

`\sf A_(triangle) = (1)/(2) * b * h`

Where:

• A is the area of the triangle.
• b is its base.
• h is its height.

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`\Large{\sf Given \text{:} \begin{cases} \sf A_(triangle) &=\sf 12cm^2 \\ \sf b &=\sf 6cm \\ \end{cases} }`

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We will make h the subject of the formula.

`\sf A_(triangle) = (1)/(2) * b * h`

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First, multiply both sides by 2.

`\sf 2 * A_(triangle) = 2 * (1)/(2) * b * h \\ \\ \Longleftrightarrow \sf 2 * A = b * h`

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Then, divide both sides by b:

`\sf (2 * A_(triangle))/(b) = (b * h)/(b) \\ \\ \Longleftrightarrow \sf (2 * A_(triangle))/(b) = h`

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Finally, substitute our values into the formula:

`\sf h = (2(12))/(6) = (24)/(6) \\ \\ \boxed{\boxed{\sf h = 4 cm}}`