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Moderator  Joined: 18 Apr 2015
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A base of a triangle [#permalink]
Expert's post 00:00

Question Stats: 70% (00:48) correct 30% (00:07) wrong based on 20 sessions

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

_________________ Director  Joined: 07 Jan 2018
Posts: 602
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Kudos [?]: 543  , given: 88

Re: A base of a triangle [#permalink]
1
KUDOS
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
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes Re: A base of a triangle   [#permalink] 22 Feb 2018, 22:56
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