jemmahb35 jemmahb35
  • 18-05-2020
  • Mathematics
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The area of a triangle is 16 units square. The length is twice the height. Find the height

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musiclover10045
musiclover10045 musiclover10045
  • 18-05-2020

The formula for area of a triangle is 1/2 x base x height.

Let the height = x

Then the base (length) = 2x ( twice the height)

You know have 16 = 1/2 * 2x * x

Multiply both sides by 2 to remove the 1/2:

32 = 2x * x

Simplify the right side:

32 = 2x^2

Divide both sides by 2:

16 = x^2

Take the square root of both sides:

X = 4

The height is 4 units and the length is 8 Units

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