Advertisements
Advertisements
Question
Construct a triangle using the given data: XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°
Advertisements
Solution
XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°
Steps of Construction:
1. Draw a line segment YZ = 3.4 cm.
2. With Y as centre, draw ∠TYZ = 45°.
3. From YT, cut YS = 1.5 cm.
4. Join S and Z.
5. Draw perpendicular bisector of SZ which cuts YT at X.
6. Join XZ.
Thus, XYZ is the required triangle.
APPEARS IN
RELATED QUESTIONS
Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.
Construct a triangle of the measures given below.
In ∆SAT, l(AT) = 6.4 cm, m ∠A = 45°, m ∠T = 105°
Construct a triangle of the measures given below.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.
Construct ∆PQR such that m∠P = 80°, m∠Q = 70°, l(QR) = 5.7 cm.
Construct ∆EFG from the given measures. l(FG) = 5 cm, m∠EFG = 90°, l(EG) = 7 cm.
Construct an equilateral triangle using the given data: Altitude AD = 5 cm
Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°
Construct a triangle using the given data: Perimeter of triangle is 6.4 cm, and the base angles are 60° and 45°
Construct a ΔRST with side ST = 5.4 cm, RST = 60° and the perpendicular from R on ST = 3.0 cm.
