Advertisements
Advertisements
Question
Construct a triangle using the given data: Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°
Advertisements
Solution
Perimeter of triangle is 10.6 cm, and the base angles are 60° and 45°
Steps of construction:
1. Draw DE = 10.6 cm.
2. Draw DP and EQ such that ∠PDE = 90° and ∠QED = 60°.
3. Draw AD and AE, the bisectors of angles PDE and QED respectively, intersecting each other at A.
4. Draw perpendicular bisectors of AD and AE, intersecting DE at points B and C respectively.
5. Join AB and AC.
Thus, ABC is the required triangle.
APPEARS IN
RELATED QUESTIONS
In ΔABC, l(AB) = 5.5 cm, l(BC) = 4.2 cm, l(AC) = 3.5 cm
Draw an equilateral triangle with side 6.5 cm.
Construct a triangle of the measures given below.
Construct a triangle of the measures given below.
In ∆ABC, l(AC) = 7.5 cm, m ∠ABC = 90°, l(BC) = 5.5 cm.
Construct a triangle using the given data: AB = 6.5cm, BC = 8.4cm and AC = 7.2cm
Construct a triangle using the given data: BC = 6cm, AC = 5.0cm and ∠C = 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: Perimeter of triangle is 6.4 cm, and the base angles are 60° and 45°
Which tool is essential for drawing arcs while constructing a triangle using given side measurements?
For Construction of △ABC where AB = 4 cm, ∠A = 60°, and ∠B = 30°, what is the critical step used to locate vertex C?
