12 Answered Questions for the topic equilateral triangle

Triangle Angle Bisector Proof

Given: Triangle ABD is an equilateral triangle and E is the midpoint of segment AD.   Prove: Segment EB bisects angle DBA.   Prove: Segment EB is perpendicular to Segment AD Please also... more

Write and solve equations to determine the values of x and y in each figure.

12y yd  3x 3 - yd 4 and is an equilateral triangle.Homework due tomorrow,so I’m desperate.

The height of an equilateral triangle is 38". How long are the sides?

 Hello! I am trying to hang some studio monitors (speakers), and everything I have read says to mount them as an equilateral triangle (left and right monitors spaced equally apart from each other... more

If you glue three pieces of wood together in the shape of an equilateral triangle, How many frames can you cover with 2 yards of ribbon?

Each side of the frame is 6 1/2 inches long (1 yard is 36 inches)

Equilateral triangle

An equilateral triangle DEF has sides of x cm and height h cm. show that the area of ΔDEF is ((√3)/4)x^2 cm^2   Please show the full working. 

Equilateral triangle side lengths

There is a large right isosceles triangle with a hypotenuse length of 24. Inside the triangle is an equilateral triangle with a vertex on the midpoint of the hypotenuse. If the length of each side... more

Equilateral triangle with perpendicular height h

I don't know how to go about this question : An Equilateral triangle has perpendicular height h. A) find the length of each side, in terms of h B) without using your calculator, show that the area... more

Can I get an equilateral triangle within a circle by drawing a random triangle first, adding up the sides of the triangle, & dividing by 3 ?

Consider all the points of the triangle to be on the circle.  Once you get the total length of the sides of the random triangle and divide by 3, will that new number give the length of the sides of... more

Geometry Help

Compute the number of square units in the area of a square inscribed in an equilateral triangle whose side is 8(2√3+3) units. [All vertices of the square are on the triangle, and the answer must be... more

Optimization Problems

6 segments of a window frame are to be constructed from a piece of window framing material 6 m in length. A carpenter wants to build a frame for a rural gothic style window, where the triangle ABC... more

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