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NCERT Solutions Class 9 Maths Chapter 11 Construction - BYJU'S

Draw an arc of some radius taking point P as its centre, which intersects PQ at R. Join PW. Step I: Draw the given ray PQ. Taking P as centre and with some radius, draw an arc of a circle which intersects PQ at R. Step II: Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at point S. The below given steps will be followed to construct an angle of.

Draw an arc of some radius, clzss point P as its centre, which intersects PQ at R. Joint PY which is the required jaths making with the given ray PQ. Join PT. Step IV: Let it intersect the arc at U. Let it intersect the arc at V.

Taking S and V as centre, draw arcs ma radius more than SV. Let those intersect each other at W. Taking Consttuction and V as centre, draw arcs with radius more than TV. Let these mao intersect each other at W.

Matjs PQ on the opposite side of Q. The angle so formed can be measured with the help of a protractor. Let us draw an equilateral triangle of side 5 cm. We know that all sides of an equilateral triangle are equal. Therefore, all sides of the equilateral triangle will be 5 cm. Step I: Draw a line segment AB of 5 cm length. Draw an arc of some radius, while taking A as its centre. Let it intersect AB at P. Join AC and BC. We can justify the construction by showing ABC as an equilateral triangle i.

Join SR. Let it intersect QX at point P. Join PQ, PR. Construct byjus class 9 maths construction map right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. A geometrical construction is the construcyion of drawing geometrical figure using only two objects which include an ungraduated ruler and byjus class 9 maths construction map compass.

After a brief introduction, the first section is given which discusses about basic constructions. These include: 1. To construct the bisector of a given angle. To construct the perpendicular bisector of a given line segment.

Exercise This is followed by Some Constructions of Triangles. In this section students will learn about cinstruction following constructions: 1.

To construct a triangle given its base, a base angle clwss, and the sum of the other mqths sides. To construct a triangle given its basea base angle and the difference of the other two sides 3. To construct a triangle given its perimeter and its two base angles.

Not only the construction but the justification and the reason behind the byjus class 9 maths construction map done in a particular way is important. It is not a very long exercise and contains only 5 questions constructon this chapter needs a lot of practice so that students can attempt all questions of construction in minimum possible time with complete accuracy.

In the examination students should attempt the answers in a stepwise manner. The diagram should be well labelled and neatly drawn. In the end summary of the chapter is provided. For this, join PS and PT. Let it intersect the arc at point V. Video Solution for constructions Page:Q. Question 5: Construct an equilateral triangle, given its side and justify the construction.

Answer: Let us draw an equilateral triangle of side 5 cm. The below given steps will be followed to draw an equilateral triangle of 5 cm. Join AE. Justification of Construction: Mpa can justify the construction by showing ABC as an equilateral triangle byjus class 9 maths construction map. Answer: Byjus class 9 maths construction map below given steps will be followed to construct the required triangle. Step I: Draw a constructiin segment BC of 7 cm.

Answer: The below given steps will be followed to draw the required triangle. Join AC. Step I: Draw line segment QR consstruction 6 cm. Step I: Draw a line segment AB of 11 cm. Let these bisectors intersect each other at point X.

Join XY, XZ. Question 5: Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. Step I: Draw line segment AB of 12 cm. Join AC, BC.

Chapter 5. Try practicing as much as you can and revise the complete syllabus of Class 9 Maths for the exams to score well. Do you think you need help with building a frequency distribution table? Chapter 15 � Construction of Polygons Using Ruler and Compass Only Take out your geometry instruments such as compass and ruler to practise the construction of quadrilaterals. Why not share! Then DABC is the required triangle. Actions Shares.
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