High School

The area of a triangle is defined by the formula [tex]A = \frac{1}{2} \times \text{base} \times \text{height}[/tex]. Given that the area ([tex]A[/tex]) is 36 and the base is 6, we can use the formula to find the height ([tex]h[/tex]).

1. [tex]36 = \frac{1}{2} \times 6 \times \text{height}[/tex]

2. Simplify the equation: [tex]36 = 3 \times \text{height}[/tex]

3. Divide both sides by 3: [tex]\text{height} = \frac{36}{3}[/tex]

4. Calculate: [tex]\text{height} = 12[/tex]

So, the height of the triangle is 12 units.

Answer :

Final answer:

To find the height of a triangle, use the formula A = 1/2 * base * height and solve for height.

Explanation:

The formula to find the area (A) of a triangle is A = 1/2 * base * height. Given that the area (A) is 36 and the base is 6, we can use the formula to find the height (h). Plugging in the values, we have 36 = 1/2 * 6 * height. To solve for height (h), we need to isolate it. We can do this by dividing both sides of the equation by 3. Thus, we get height = 36 / 3 = 12. So, the height of the triangle is 12 units.

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