Question

if a right angled triangle are in AP then the angles of that triangle will be
step by step explanation
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Answer 1

Answer:

Let the angles of the right triangle be a−d,a and a+d where d is the common difference.

Then, a+(a+d)+(a−d)=180.

That gives, a=60.

One of the angle is 90 degrees (right angled triangle), i.e., a+d=90 or d=30. Therefore, the angles are 30

∘

, 60

∘

and 90

∘

.

Using the sine rule,

sinA

a

=

sinB

b

=

sinC

c

=k

a=ksin30

∘

=

2

k

b=ksin60

∘

=

2

3

k

c=ksin90

∘

=k

Therefore, a:b:c= 1:

3

:2. Option (A) is correct.