Question

Please solve question 16 with steps.

Answer 1

Given : An isosceles triangle  and angle between equal side lies between°  60 & 90°

To find : Choose correction about possible lengths of a

Solution:

As we know side opposite to greater angle is greater if

A = 60 deg then all Sides would be equal

as A > 60 ° hence Side of opposite to angle A is greater

=> a >  b ,   c

Now if A = 90°

then b² + c² = a²

=> a² = 2b² = 2c²

=> a  = √2b = √2c

but A < 90°

=> a  < √2b , √2c

a >  b ,   c   & a  < √2b , √2c

from the given option

c < a  < √2c  is correct option

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