of all two digit natural numbers which whens a right triangle, right a

1.	of all two digit natural numbers which whens a right triangle, right angled at C and D is thedivided by 3 yield 1 as remainder.16.) In Fig.1, ABCmid-point of BC. Prove that ABAD-3AC17. Point P divides the line segment joining the pointsA(2, 1) and B(5,-8) such that AP =豆. If P lies on the line 2x-y+k0, find the mnAB 3
Answer» ABC is a right angled at B and D is the midpoint of BC. In ∆ABD AD²= AB²+BD²…………(1)[By Pythagoras theorem] In ∆ ABCAC²= AB²+BC²…………(2) From equation (1) AD²= AB²+ (BC/2)²[D is the midpoint of BC] 4AD²= 4AB²+ BC²BC²= 4AD²-4AB²…………….(3)Using the value of BC² in eq. 2 AC²=AB²+4AD²-4AB² AC²=AB²-4AB+4AD²AC²= 4AD²-3AB²

of all two digit natural numbers which whens a right triangle, right angled at C and D is thedivided by 3 yield 1 as remainder.16.) In Fig.1, ABCmid-point of BC. Prove that ABAD-3AC17. Point P divides the line segment joining the pointsA(2, 1) and B(5,-8) such that AP =豆. If P lies on the line 2x-y+k0, find the mnAB 3

Answer»

ABC is a right angled at B and D is the midpoint of BC.

In ∆ABD

AD²= AB²+BD²…………(1)[By Pythagoras theorem]

In ∆ ABCAC²= AB²+BC²…………(2)

From equation (1)

AD²= AB²+ (BC/2)²[D is the midpoint of BC]

4AD²= 4AB²+ BC²BC²= 4AD²-4AB²…………….(3)Using the value of BC² in eq. 2

AC²=AB²+4AD²-4AB²

AC²=AB²-4AB+4AD²AC²= 4AD²-3AB²