Question

the area of a triangle is 67 square feet. the base is twice the height. find the height.
you do not need to include the unit measurement or unit type. only the numerical answer is necessary. round to the nearest tenth if necessary.

Explanation:

Step1: Let the height be \( h \)

Let the height of the triangle be \( h \). Then the base \( b = 2h \).

Step2: Use the area formula

The area formula for a triangle is \( A=\frac{1}{2}bh \). Substitute \( b = 2h \) and \( A = 67 \) into the formula:

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Step3: Solve for \( h \)

Take the square root of both sides: \( h=\sqrt{67}\approx 8.2 \)

Answer:

\( 8.2 \)