Question
Question: If sides of a right angle triangle are in A.P., then sides are proportional to...
If sides of a right angle triangle are in A.P., then sides are proportional to
A
1 : 2 : 3
B
2 : 3 : 4
C
3 : 4 : 5
D
4 : 5 : 6
Answer
3 : 4 : 5
Explanation
Solution
(a + d)2 = (1)2 + (a – d)2 2ad = a2 – 2ad
4ad = a2 ̃ a=4 d
a – d : a : a + d, 4d – d : 4d : 4d + d
3d : 4d : 5d ̃ 3 : 4 : 5