Construct a triangle ABC in which BC = 5 cm, < B = 60° and the sum of the other two sides is 7 cm
Step of Constructions:
(i) Draw BC = 5 cm.
(ii) Draw < XBC = 60°
(iii) On the ray BX, mark off point D such that BD = 7 cm.
(iv) Join D to C.
(v) Draw perpendicular bisector EF of CD. Let it intersects BD at A.
(vi) Join A to C.
ABC is the required triangle
Construct a Triangle ABC in which < B = 45°, <C = 60° and AB + BC + AC = 13 cm.
Step of constructions:
(i) Draw XY = 13 cm.
(ii) Draw < MXY = 45° and < NYX = 60°
(iii) Draw angle bisectors of < MXY and < NYX, meeting at a point, say A.
(iv) Draw perpendicular bisector of XA and YA, meeting XY at B and C respectively.
(v) Join A to B and A to C.
ABC is the required triangle
Step of constructions:
(i) Draw BC = 5.5 cm.
(ii) Draw < XBC = 30°
(iii) On the ray BX, mark off point D such that BD = 2 cm.
(iv) Join D to C.
(v) Draw perpendicular bisector EF of CD. Let it intersects BX at A.
(vi) Join A to C. ABC is the required triangle.
1.Construct a triangle ABC in which BC = 7cm, B = 750 and AB + AC = 13 cm.
2.Construct a triangle ABC in which BC = 8cm, B = 450 and AB - AC = 3.5 cm.
3.Construct a triangle PQR in which QR=6cm, =600 and PR -PQ = 2 cm.
4,Construct a triangle XYZ in which Y=300, =900 and XY + YX + ZX = 11cm.
5.Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18cm.
6.Construct an equilateral triangle, given its side and justify the construction.
useful files by jsunil tutorial
9th Construction of Triangle Test Paper -1
IX Ch 11 Constructions Solved Triangle Test Paper -1
http://jsuniltutorial.weebly.com/constructions.html
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