Since BD is one altitude, therefore the height of the triangle is BD and the basic of the triangle is AC.

You are watching: Segment bd is an altitude of triangle abc. find the area of the triangle.

The street formula to discover the distance in between two point out is,

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First, we find BD, wherein B(-1,4) and also D(2,4).

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So, the height of the triangle is 3.

Now, we discover the value of AC, whereby A(2,1) and C(2,6).

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So, the base of the triangle is 5.

The formula to discover the area the a triangle is,

*

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Therefore, the area the the triangle is 7.5 unit square and also the correct alternative is A.


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BigorU <14>10 month ago
6 0

ptcouncil.net:

A. 7.5

Step-by-step explanation:

In triangle ABC, BD is the altitude the the triangle which method BD is that height and also AC is that is base.

We recognize that B(-1,4) and also D(2,4), thus we can find height BD using the street formula:

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BD =

*
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Now, us will find the basic AC:

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Area that the triangle = 1/2 * basic * height

Area of abc = 1/2 * AC * BD = 1/2 * 5 * 3 = 7.5

Therefore, the area of abc is 7.5.


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