Question
Download Solution PDFIf the area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 square units, then what is the value of k?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Area of a triangle with vertices (x1, y1) , (x2, y2), (x3, y3) is given by
Area =
Calculations:
Given that, vertices of triangle are (-3, 0), (3, 0) and (0, k)
By using the above formula,
⇒ Area =
⇒ Area =
⇒ Area = 3k
According to the question, area of triangle is 9 square unit,
⇒ 3k = 9
⇒ k = 3
∴ Required value of k is 3 unit.
Last updated on Jun 11, 2025
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