Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB
MathematicsMediumsingle choice
Let x=a cos A, y=b cos B, z=c cos C in triangle ABC. For which triangles do x,y,z form triangle side lengths?
Options:
Answer:
D
Solution:
In an acute triangle, x,y,z are lengths of the sides of the orthic triangle formed by the feet of the altitudes. In a right triangle, one is zero, and in an obtuse triangle, one is negative. Therefore exactly acute triangles satisfy the positive strict triangle conditions.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)
⏱ 2mℹ️ Source: QB
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