a triangular landscape has a base of 24 meter and height of 12 meters. find the area..Using the step in problem solving. pls pasagot na po kailangan ko na po
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Step-by-step explanation:
Here is a shortcut for finding the radius $R$ of the circumcenter of $\triangle ABC$.
As before, we find that the foot of the altitude from $P$ lands on the circumcenter of $\triangle ABC$. Let $BC=a$, $AC=b$, and $AB=c$. Then we write the area of $\triangle ABC$ in two ways:\[[ABC]= \frac{1}{2} \cdot 24 \cdot 16 = \frac{abc}{4R}\]
Plugging in $20$, $20$, and $24$ for $a$, $b$, and $c$ respectively, and solving for $R$, we obtain $R= \frac{25}{2}=OA=OB=OC$.
Then continue as before to use the Pythagorean Theorem on $\triangle AOP$, find $h$, and find the volume of the pyramid.
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