If vertices of a triangle are (1, -3), (4, P), and (-9, 7) and its area is 15 square units. Find the value of P.
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Step-by-step explanation:
Points (8, -5), (-2, 7) and (5, 1).
To find: The area of the triangle so formed.
Answer:
(Diagram for reference attached below.)
Heron's formula:
\tt \sqrt{s\bigg(s\ -\ a\bigg)\bigg(s\ -\ b\bigg)\bigg(s\ -\ c\bigg)}s(s − a)(s − b)(s − c)
Here, a, b and c are the lengths of each side and s is the perimeter.
We don't have the lengths. We have only the points. So we'll have to find the length of each side. This can be done by using the distance formula:
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