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Find the value of k if area of triangle is 4 square units and

Question

Find the value of k if area of triangle is $4$ square units and vertices are $(k, 0), (4, 0)$ and $(0, 2)$

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Evelyn Discussed

Find the value of k if area of triangle is

4

square units and vertices are

(k, 0), (4, 0)

and

(0, 2)

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

The area of the triangle with vertices

(k, 0), (4, 0)

and

(0, 2)

is given by the relation,

= \frac{1}{2} ∣ ∣ k 40 002111 ∣ ∣

\Rightarrow \frac{1}{2} [- 2 k + 8] = \pm 4

\Rightarrow - k + 4 = \pm 4

Hence,

k = 0, 8

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Question Text	Find the value of k if area of triangle is $4$ square units and vertices are $(k, 0), (4, 0)$ and $(0, 2)$
Answer Type	Text solution:1
Upvotes	150