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if the angles of a right angled triangle are in A.P, then ratio of its sides

if the angles of a right angled triangle are in A.P, then ratio of its sides
 

Grade:12

3 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-1538_1.PNG
Arun
25763 Points
one year ago
Dear student
 
if angles are in AP,
A + B + C = 180
3B = 180
 
B = 60
 
hence A + C = 120
 
lets assume A = 30, C = 90
 
hence a : b : c  = sinA : sinB : sinC
 
 = ½ : sqrt(3)/2 : 1
 = 1 : sqrt(3) : 2
Vikas TU
14149 Points
one year ago
The sides of a right angled triangle are in Ap find the ratio of their sides
So the ratio of sides is 3:4. The sides of a right triangle are in arithmetic progression.Let one of the legs be x, the other leg x+d, and the hypotenuse
x+2d. ... So the ratio of sides is 3:4 .
 

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