First slide

Equation of line in Straight lines

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

Moderate

A

0
B

1
C

2
D

3

Solution

$There exist exactly four triangles A B C, A P C, A P B and B P C satisfying the given conditions of which three triangles will be obtuse angle.$

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