Advertisements
Advertisements
Question
Construct a triangle using the given data: PQ = 6.2cm, QR = 9.0cm and ∠Q = 30°
Advertisements
Solution
PQ = 6.2cm, QR = 9.0cm and ∠Q = 30°
Steps of Construction:
1. Draw a line segment PQ = 6.2cm
2. With Q as centre, draw an arc cutting PQ at M.
3. With M as centre and same radius, cut the arc at N. Join QN.
4. Bisect ∠NQP. Let QY be the bisector. QY makes an angle of 30° with PQ.
5. With Q as centre and radius 9cm cut an arc on QY. Mark the point as R.
6. Join PR.
Thus, PQR is the required triangle.
APPEARS IN
RELATED QUESTIONS
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 ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm.
Construct a triangle using the given data: PQ = 4.8cm, QR = 6.3cm and PR = 5.5cm
Construct a triangle using the given data: XY = 5.2cm, XZ = 6.5cm and ∠X = 75°
Construct a triangle using the given data: PQ = 6.2cm, ∠P = 105° and ∠ = 45°
Construct a right-angled triangle in which: Side AB = 4.5 cm and hypotenuse AC = 7 cm
Construct a right-angled triangle in which Side DE = 6 cm and ∠E = 30°, ∠D = 90°
Construct a triangle using the given data: XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°
Construct a ΔPQR with ∠Q = 60°, ∠R = 45° and the perpendicular from P to QR be 3.5 cm. Measure PQ.
