Advertisements
Advertisements
Question
Construct a triangle using the given data: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°
Advertisements
Solution
PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°
Steps of Construction:
1. Draw a line segment QR = 6 cm.
2. With Q as centre, draw ∠TQR = 45°
3. From QT, cut QS = 1.5 cm.
4. Join S and R.
5. Draw perpendicular bisector of SR which cuts QT at P.
6. Join PR.
Thus, PQR is the required triangle.
APPEARS IN
RELATED QUESTIONS
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: BC = 6.0cm, ∠B = 60° and ∠C = 45°
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 triangle using the given data: Perimeter of triangle is 9 cm, and the base angles are 60° and 45°
Construct a triangle using the given data: Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°
Construct a triangle PQR with PQ = 5.4 cm, QR = 4.6 cm and ∠Q = 60°. Draw the perpendicular PS at QR, measure the lengths of SP and SQ,
Construct a ΔABC, right-angled at B with a perimeter of 10 cm and one acute angle of 60°.
Select the correct sequence for constructing a triangle given the three sides:
