Assignment
1) Draw a rhombus of side 5 cm, then draw a right triangle of the dame area.
2) Draw a regular pentagon of side 4 cm and then draw a triangle of the same area.
Answers
Answer: 1]One side of 5 cm length and one angle of 50° measure are given.
Step -1: Draw a line segment AB of length 5 cm.
Step-2: Draw another line AP such that angle PAB = 50°. Cut off AD = 5 cm from AP.
Step-3: Taking centre at B and D, draw two arcs each of radius 5 cm - that cut one another at point C.
Thus, ABCD is the rhombus having each side of length 5 cm and angle 50°.
Step-4: Connect diagonals AC and BD of the rhombus. Let, AC = m and BD = n.
We know, diagonals of a rhombus are perpendicular bisectors. Area of the rhombus = {(1 / 2) * m * n}. Thus, if we draw a right angled triangle with perpendicular sides of m and n long; area of that right angled triangle equals the rhombus.
Step-5: Draw a line segment PQ = m. Now, draw another straight line at P, PL such that PL is perpendicular to PQ. Cut off PR = n from PL. Join QR to get a right angled triangle PQR, whose perpendicular sides are PQ (= m) and PR (= n).
Area of the right angled triangle PQR = area of the rhombus ABCD.
2] 1
The first step to draw a perfect pentagon is to mark a dot in the center of your paper. Place your compass on the dot, and draw a perfect circle. If you have time, here are other ways to draw a circle.
How to Draw a Perfect Pentagon - Step 1
2
Using the central dot and a protractor, divide the circle into 5 points. There are 360º in a circle, and 360/5 = 72°. So, you should mark a dot every 72º. To get the right measurement, use a protractor to get the perfect measurement for your pentagon.
How to Draw a Perfect Pentagon - Step 2
3
Connect every adjacent point. Now you have a pentagon.
If you want to draw a pentagram, instead of a pentagon: Instead of joining adjacent points together, you have to join each point with the two opposite points.