A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle?
1 Answer
The answer to this question is easy but requires some mathematical general knowledge and common sense.
Isosceles Triangle:-
A triangle whose only two sides are equal is called an isosceles triangle. An isosceles triangle also has two equal angels.
Acute Triangle:-
A triangle whose all angels are greater than
Given triangle has an angle of
Now there are two possibilities for the angels.
Only one of the two above possibilities will be correct for this question.
Let's verify the two possibilities one by one.
Let the two equal angels be of
We know that the sum of all the three angels of a triangle is equal to
In possibility
Let the two equal angels be of
In this possibility the measures of the angels are
All the three angels are in the range of
Hence, the measures of largest and smallest angels are