In a quad. ABCD ANGLE A + ANGLE D =90 DEGREE. THEN PROVE THAT AC^2 + BD^2=BC^2 + AD^2.
good afterwards (dont spam plz)
Answers
Answered by
3
Answer:
As ∠ABC=90
∘
So applying Pythagoras theorem in △ABC
AB
2
+BC
2
=AC
2
(1)
Given: AD
2
=AB
2
+BC
2
+CD
2
(2)
Substituting (1) in (2)
AD
2
=AC
2
+CD
2
In △ACD , applying converse of Pythagoras theorem which states
that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Hence ∠ACD=90
∘
Answered by
1
Answer:
thank u .
......
........
Similar questions