0
What is the perimeter of an isosceles triangle whose base angles add up to 60 degrees and has an area of 132.61014 square cm showing work?
Wiki User
∙ 10y ago
Suppose the base of the triangle is of length x cm and the equal sides are of length y cm.
The base angles sum to 60 degrees so each is 30 degrees and the apex angle is 180-60 = 120 degrees.
Then area = 132.61014 = 0.5*y2*sin(120)
So that y2 = 132.61014/[0.5*sin(120)] = 306.25
and therefore, y = 17.5 cm.
Then, by the sine rule, x/sin(120) = y/sin(30)
So x = y*sin(120)/sin(30) = 30.31 cm
And therefore, perimeter = x + 2*y = 65.31 cm.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the degrees of an acute isosceles triangle?
101 degrees :p
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
Which triangle is not an isosceles triangle?
An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.
Can a right triangle be isosceles?
No, an isosceles triangle can not be a right triangle, because a right triangle has an angle of 90 degrees angle, and two angles of 45 degrees. An isosceles triangle has all acute angles, therefor, making it an acute triangle, so no, an isosceles triangle is not, i repeat not, a right triangle.
What triangle appers to be both right and isosceles?
a right angled triangle with the remaining angles both being 45 degrees will be a rightangled triangle and an isosceles triangle.
How many degrees is there in an isosceles triangle?
because an isosceles triangle or any kind of triangle is 180 degrees.
What degree angles has an isosceles triangle?
a isosceles has 180 degrees
How many degrees are in the angle of an isosceles triangle?
There is 180 degrees in every triangle.
What kind of triangle has angles 50 degrees 65 degrees and 65 degess?
Isosceles Triangle. An isosceles triangle is a triangle with (at least) two equal sides/ angles.
How many degrees does a right isosceles have?
The right isosceles triangle has 180 degrees as all triangles do
What is a triangle with a 90 degrees called?
a right triangle
What type of triangle has an angle that measures 120 degrees and an angle that measures thirty degrees for kids?
It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.
What is the degrees of an isosceles triangle?
An isosceles triangle has 3 interior angles that add up to 180 degrees, and 2 of its angles are equal and two of its sides are equal.
What is the degrees of an acute isosceles triangle?
101 degrees :p
A triangle with two congruent sides and an angle of 104 degrees is?
A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
Which triangle is not an isosceles triangle?
An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.
