21.ABC is a right triangle, right angled at B. If P is the length of t

1.	21.ABC is a right triangle, right angled at B. If P is the length of the perpendicular from B toAC and AB =C , BC = a and CA = b , then prove that (a)==+= (b) p?b? = aục?nie te verse kleure is the length of the perpendicular con
Answer» 1.Area is 1/2 base * height . So for the same triangle area can be 1/2ba and can be 1/2pc. Hence cp = ab 2 . From above p2 = a2b2/c2 1/p2 = c2/ a2b2 but for right triangle c2 = a2 +b2 Hence 1/p2 = (a2+b2)/ a2b2 Hence 1/p2 = 1/a2+1/b^2re

21.ABC is a right triangle, right angled at B. If P is the length of the perpendicular from B toAC and AB =C , BC = a and CA = b , then prove that (a)==+= (b) p?b? = aục?nie te verse kleure is the length of the perpendicular con

Answer»

1.Area is 1/2 base * height . So for the same triangle area can be 1/2*b*a and can be 1/2*p*c. Hence cp = ab

2 . From above p2 = a2b2/c2

1/p2 = c2/ a2b2

but for right triangle c2 = a2 +b2

Hence 1/p2 = (a2+b2)/ a2b2

Hence 1/p2 = 1/a2+1/b^2re