Question

Heyyy guys plzzz help me in doing this question------->
ABC is a right angled at C. If BC=a, CA=b and AB =c and p is the length of perpendicular drawn from CAB, then prove that : 1) pc=ab, 2) 1/p^2=1/a^2+1/b^2

Answer 1

Answer:

Step-by-step explanation:

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/b2