Let be a tetrahedron such that the edges

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

Let

ABCD

be a tetrahedron such that the edges

AB

AC

and

AD

are mutually perpendicular. Let the area of

\Delta ABC

\Delta ACD

and

\Delta ADB

be 3, 4 and 5 sq units, respectively. Then, the area of the

\Delta BCD

, is (1)

5\sqrt{2}

(2) 5 (3)

5/\sqrt{2}

(4)

\frac{5}{2}