If two vertices of a triangle are (1,3) ...

If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :

Verified by Experts

`A=1/2*b*h`
`5=1/2*5*h`
`h=2 unit`
from diagram
AC=BC
AD=Db=5/2
`tantheta=(5/2)/2=5/4`
`theta=tan^(-1)5/4`
...

Similar Questions

Explore conceptually related problems

Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of the triangle is the origin, then the third vertex is

Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre of the triangle is the origin,then the third vertex is

Two vertices of a triangle are (3 , 5) and ( - 4 , -5) . If the centroid of the triangle is (4 , 3), find the third vertex.

Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre of the triangle is the origin, find the third vertex.

Two vertices of a triangle are (1,3) and (4,7). The orthocentre lies on the line x+y=3 The locus of the third vertex is

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocentre lies at the origin, then the co-ordinates of third vertex are: