The triangle with vertices

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The triangle with vertices

A(a,1)

,

B(4,a)

and

C(2,5)

has an area of

7

square units. If

a>5

, find

a

. (a)

3+\sqrt{5}

(b)

\dfrac{7+\sqrt{41}}{2}

(c)

\dfrac{7+\sqrt{33}}{2}

(d)

\dfrac{7+\sqrt{17}}{2}

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