construct an equilateral triangle one of whose altitude is 5 cm show me the steps by means of a - Maths - Constructions

Question

construct an equilateral triangle one of whose altitude is 5 cm
show me the steps by means of a video not any writing!

Shruti Tyagi · Accepted Answer

Dear student,

As of now, we do
not provide any assistance in video format for answering such
queries Please find below the solution in written format:

The thing to note here is that the altitude of a equilateral is also the corresponding median and angle bisector
 The internal angle is 60° hence the angles inside the triangle on either side of the altitude are 30° each1
 Draw a line l and pick any point D on it
 2
 From D draw a perpendicular on the line l
 Choose a point A on D such that AD =5 cm (the altitude)
  3
 From A draw a ray AM such that ∠MAD = 30°
 4
 Extend AM to meet it the line l at point B
  5
 Using the compass measure AB and draw an arc from B cutting l at C such that BC = AB
 Note that C must be on the same side as D
 6  Join AC

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a0186ebcd75a%20png"
style="width: 200px; height: 215px;">
Hence, triangle ABC is the required triangle

Regards

construct an equilateral triangle one of whose altitude is 5 cm..show me the steps by means of a video...not any writing!