Advertisements
Advertisements
Question
Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Advertisements
Solution
PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Steps of construction:
1. Draw a line segment QR = 4.8 cm
2. With Q as centre, construct ∠SQR = 45°
3. Cut QT = 10.6 cm on QS.
4. Join TR.
5. Draw perpendicular bisector of TR which cuts QT at P.
6. Join PR.
Thus PQR is the required triangle.
APPEARS IN
RELATED QUESTIONS
The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2 : 3 : 4. Construct the triangle.
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 ∆MNP, l(NP) = 5.2 cm, m∠N = 70°, m ∠P = 40°
Construct a triangle of the measures given below.
Construct a triangle of the measures given below.
In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.
Construct a triangle using the given data: DE = 6.5cm, EF = 5.8cm and DF = 4.2cm
Construct a triangle using the given data: BC = 6cm, AC = 5.0cm and ∠C = 60°
Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 75°
Construct an isosceles triangle in which: PQ = QR, PR = 4.5 cm and ∠R = 60°
