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A base of a triangle

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A base of a triangle [#permalink] New post 22 Feb 2018, 12:46
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A base of a triangle has a length b, the altitude corresponding to the base has length h, and b=2h. Which of the following expresses the area of the triangle , in terms of h?

A. \(\frac{1}{2}h^2\)

B. \(\frac{3}{4}h^2\)

C.\(h^2\)

D. \(\frac{3}{2}h^2\)

E. \(2h^2\)
[Reveal] Spoiler: OA

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Re: A base of a triangle [#permalink] New post 22 Feb 2018, 22:56
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Explanation

area of a triangle \(= \frac{1}{2}* B * H\)
\(B=\) base of the triangle and \(H =\) Height or Altitude of the triangle

Given, \(B = H\) and Height \(= 2H\)

Area of the triangle \(= \frac{1}{2} * B * H = \frac{1}{2} * H * 2H\)
\(2\) in the numerator and denominator cancel out leaving \(H * H = H^2\)
Option C

Remember to find the area of the triangle base can be any of the three sides however height of the triangle should be perpendicular to the base chosen
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Re: A base of a triangle   [#permalink] 22 Feb 2018, 22:56
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A base of a triangle

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