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,

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

So, the height of the triangle is 3.

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

So, the base of the triangle is 5.

The formula to discover the area the a triangle is,

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:

BD =

Now, us will find the basic AC:

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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