Answer:
Based on this sides and angles this triangle is an Acute isosceles triangle.
Explanation:
Calculating the triangle-
1.The triangle perimeter is the sum of the lengths of its three sides-
p = a+b+c = 5.5+5.5+1.5 = 12.5
2. The semi perimeter of the triangle-
The semi perimeter of the triangle is half its perimeter. By the triangle inequality, the longest side length of a triangle is less than the semi perimeter.
s= p/2=12.5/2=6.25
3. Heron's formula-
T=\sqrt(6.25-5.5)(6.25-5.5)(6.25-1.5))
=4.09
4.To calculate the heights of the triangle from its area=
(2*4.09)/5.5=1.49
(2*4.09)/5.5=1.49
(2*4.09)/1.5= 5.45
5. Finding the inner angles through the laws of Cosines
=82°9 ′45
=82°9 ′45"
15°40 ′30"
6.Inradius
=0.65
7. Circumradius
=2.78
8. Calculation of medians
=2.947
=2.947
=5.449
The two acute angles, opposites of two equal sides are also equal, making this an Acute isosceles triangle.