Let A B C D be a tetrahedron such that ...

Let `A B C D` be a tetrahedron such that the edges `A B ,A Ca n dA D` are mutually perpendicular. Let the area of triangles `A B C ,A C Da n dA D B` be 3, 4 and 5sq. units, respectively. Then the area of triangle `B C D` is `5sqrt(2)` b. `5` c. `(sqrt(5))/2` d. `5/2`

Similar Questions

Explore conceptually related problems

Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D are mutually perpendicular. Let the area of triangles A B C ,A C Da n dA D B be 3, 4 and 5sq. units, respectively. Then the area of triangle B C D is a. 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2

Let A B C D be a tetrahedron such that the edges A B ,A C and A D are mutually perpendicular. Let the area of triangles A B C ,A C D and A D B be 3, 4 and 5sq . units , respectively. Then the area of triangle B C D is a. 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2

In a triangle A B C , let P a n d Q be points on A Ba n dA C respectively such that P Q || B C . Prove that the median A D bisects P Qdot

If the vectors vec a , vec b ,a n d vec c form the sides B C ,C Aa n dA B , respectively, of triangle A B C ,t h e n

The perpendicular A D on the base B C of a triangle A B C intersects B C at D so that D B=3C D . Prove that 2\ A B^2=2\ A C^2+B C^2 .

In triangle A B C , Medians A D and C E are drawn. If A D=5,/_D A C=pi/8,a n d/_A C E=pi/4 , then the area of the triangle A B C is equal to (25)/9 (b) (25)/3 (c) (25)/(18) (d) (10)/3

If D ,Ea n dF are three points on the sides B C ,C Aa n dA B , respectively, of a triangle A B C such that the (B D)/(C D),(C E)/(A E),(A F)/(B F)=-1

Find the area of a triangle formed by the points A(5,\ 2),\ B(4,\ 7)\ a n d\ C(7, 4)dot

Let `A B C D` be a tetrahedron such that the edges `A B ,A Ca n dA D` are mutually perpendicular. Let the area of triangles `A B C ,A C Da n dA D B` be 3, 4 and 5sq. units, respectively. Then the area of triangle `B C D` is `5sqrt(2)` b. `5` c. `(sqrt(5))/2` d. `5/2`

Similar Questions

Recommended Questions