Can a right angled triangle have altitude greater than its hypotenuse p-roof
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No it is not possible.
Suppose ∆ABC is right angled triangle.
<ABC=90°. BC=a,CA=b and AB=c.
a^2+c^2=b^2=>b>a,b>c.
Altitude c of side BC < hypotenuse b
Altitude a of side AB< hypotenuse b
Midpoint M of hypotenuse CA is equidistant from the vertices A,B and C.i.e MA=MB=MC.
Thus altitude of CA say BN<BM<CA.Hence altitudes of a right angled triangle can not be more than hypotenuse.
Step-by-step explanation:
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