Math geometry
posted by K
1) The base angles of an isosceles triangle are (50x)^6 and (30x12)^6 what is the vertex angle?
2) The area of a trapezoid is 52cm^2 if it's bases are 8 cm apart find the sum of their heights
3) What is the area of a circle inscribed inside an equilateral triangle whose area is 4√3 cm^2
Please show solution

Steve
1) the base angles are equal, so
(50x)^6 = (30x12)^6
50x = 30x12
...
Find x, evaluate the angles, and subtract them from 180
2) I assume you mean lengths. If they are b and B,
8(b+B)/2 = 52
3)The medians of a triangle meet 2/3 of the way from a vertex to the opposite side. This triangle's medians are also its altitude. The side length is 4, so its altitude is 2√3. Thus, the radius of the circle is 2/3 of that.
Respond to this Question
Similar Questions

vertex angle
The three angles add to 180 degrees. Also , the two base angles of the isoscele triangle are equal, .. Set those base angles equal, and solve for x. Put that value of x into the given, and compute the base angles. The third angle will … 
geometry
An isosceles trapezoid has base angle 45 degrees and bases of length 12 and 32. Find its area. 
geometry
An isosceles trapezoid has bases of 4 and 10. If the base angle is 45°, find the area. 
geometry
Find the number of degrees in the measure of one of the base angles of an isosceles triangle, if the measure of the vertex angle is 36 degrees less than the sum of the measures of the base angles. 
geometry
An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid. 
Geometry Question (multiple choice)!
The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of the trapezoid? 
geometry
6. The isosceles trapezoid is part of an isosceles triangle with a 34° vertex angle. What is the measure of an acute base angle of the trapezoid? 
geometry.
In the diagram, a trapezoid is shown with x=36 and y=56. Find the area of the trapezoid. It's an isosceles triangle with base angles of 60°. 
Geometry
An exterior angle of an isosceles triangle has measure 150°. Find two possible sets of measures for the angles of the triangle. If the exterior angle of the bases is 150°, then the measure of the angle of each base is _° and … 
maths
In an isosceles triangle angle in the top vertex is twice the sum of the base angle. Find the exterior angles of the triangle.