Advertisements
Advertisements
Question
Construct a triangle of the measures given below.
In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
Advertisements
Solution
Using the angle sum property, we can find the third angle of the triangle FEG.
∠F + ∠E + ∠G = 180°
⇒ 65° + ∠E + 45° = 180°
⇒ ∠E = 70°
Steps of construction:
- Draw a line EG = 6 cm.
- With E as a centre, draw ∠XEG = 70°.
- With G as a centre, draw ∠YGE = 45º.
- Let YG and XE meet at point F.
∆FEG is the required triangle.
RELATED QUESTIONS
In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm
Draw triangle with the measures given below.
In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm
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 ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m ∠P = 40°
Construct a triangle of the measures given below.
In ∆ABC, l(AC) = 7.5 cm, m ∠ABC = 90°, l(BC) = 5.5 cm.
Students should take examples of their own and practise the construction of triangles.
Construct a triangle using the given data: PQ = 6.2cm, ∠P = 105° and ∠ = 45°
Construct a triangle using the given data: DE = 5cm, ∠D = 75° and ∠E = 60°
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: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°
