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Setler [38]
2 years ago
14

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Mathematics
2 answers:
jekas [21]2 years ago
7 0
We know that side AC=5 and BD=3. The area of a triangle is base*height/2, so the area of this triangle is 3*5=2=7.5
koban [17]2 years ago
4 0

Answer:

<em>The area of the triangle is </em><em>7.5 sq units</em><em>. </em>

Step-by-step explanation:

The coordinates of the vertices of triangle ABC is,

A = (2, 1)

B = (-1, 4)

C = (2, 6)

D = (2, 4)

So,

AC=\sqrt{(2-2)^2+(6-1)^2}=\sqrt{0^2+5^2}=\sqrt{5^2}=5

BD=\sqrt{(-1-2)^2+(4-4)^2}=\sqrt{(-3)^2+0^2}=\sqrt{9}=3

we know that,

\text{Area}=\dfrac{1}{2}\times \text{Base}\times \text{Height}

=\dfrac{1}{2}\times \text{AC}\times \text{BD}

=\dfrac{1}{2}\times 5\times 3

=7.5

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