The number of triangles which are obtuse and which have the points (8,9),(8,16) and (20,25) as the feet of perpendiculars drawn from the vertices on the opposite sides is

Question

The number of triangles which are obtuse and which have the points (8,9),(8,16) and (20,25) as the feet of perpendiculars drawn from the vertices on the opposite sides is (A) 0 (B) 1 (C) 2 (D) 3

Tardigrade Admin · Accepted Answer

There exist exactly four triangles A B C, A P C, A P B and B P C satisfying the given conditions of which three triangles will be obtuse angle. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/3338d028578a77d4b3aacc4baf0e78b5-.png" />

Q. The number of triangles which are obtuse and which have the points $(8, 9), (8, 16)$ and $(20, 25)$ as the feet of perpendiculars drawn from the vertices on the opposite sides is

0

1

2

3

There exist exactly four triangles $A BC, A PC, A PB$ and $BPC$ satisfying the given conditions of which three triangles will be obtuse angle.

Q. The number of triangles which are obtuse and which have the points (8,9),(8,16) and (20,25) as the feet of perpendiculars drawn from the vertices on the opposite sides is

0

1

2

3

There exist exactly four triangles ABC,APC,APB and BPC satisfying the given conditions of which three triangles will be obtuse angle.

Q. The number of triangles which are obtuse and which have the points $(8, 9), (8, 16)$ and $(20, 25)$ as the feet of perpendiculars drawn from the vertices on the opposite sides is

There exist exactly four triangles $A BC, A PC, A PB$ and $BPC$ satisfying the given conditions of which three triangles will be obtuse angle.