Question
In the given figure, ABC is an Isosceles Triangle in which AB = AC, then
- AD < AC
- AE > AC
- both 1 and 2
- none of these
Hint:
length of the side depends on the vertex angle A.
The correct answer is: both 1 and 2
both options 1 and 2 are correct
this is because D is located in between B and C whereas E is located beyond C.
the length of a side increases as the vertex angle (here ,A) increases for the same perpendicular distance from the vertex.
we can also use trigonometry to solve this problem. For the same perpendicular distance from the vertex, the length of side increases with increase in the vertex angle since the perpendicular is the cosine component of the side.
height = side x cos(theta). we know that cosine is a decreasing function. therefore, to keep the height same, the side has to increase.
Related Questions to study
In the figure, AB = BC = CD = DE = EF and AF = AE. Then 
= ?
In the figure, AB = BC = CD = DE = EF and AF = AE. Then = ?
In the figure, AB = AC, = 48° and 
= 18° . Then
an isosceles triangle is one that has two of its sides equal and the base angles equal to each other.
In the figure, AB = AC, = 48° and = 18° . Then
an isosceles triangle is one that has two of its sides equal and the base angles equal to each other.
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of 
. Then x° + y° is
if one of the angles were acute then we'd not have been able to conclude whether the sum of the angles were greater than or less than 180 degrees.
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of . Then x° + y° is
if one of the angles were acute then we'd not have been able to conclude whether the sum of the angles were greater than or less than 180 degrees.
The perimeter of the following figure is
perimeter is the sum of the sides of a polygon.
The perimeter of the following figure is
perimeter is the sum of the sides of a polygon.
Two pupils Ram and Shyam have taken lime water in a vessel, as shown in the figure. Ram is inhaling air from straw A and Shyam is blowing air through straw B. In which case lime water turns milky faster and Why?
Two pupils Ram and Shyam have taken lime water in a vessel, as shown in the figure. Ram is inhaling air from straw A and Shyam is blowing air through straw B. In which case lime water turns milky faster and Why?
If 
where 
then A is equal to
If where then A is equal to
The range of the function 
In this question, we have to find the range of f(x)=
. Here solve the function and find when function is at maximum and minimum.
The range of the function
In this question, we have to find the range of f(x)=. Here solve the function and find when function is at maximum and minimum.
, and the period of 
is 
, then n is equal to
