Advertisements
Advertisements
Question
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Advertisements
Solution

Steps of construction:
1. Draw a line segment XY of 6.4cm.
2. Draw `∠`DXY = B = 60° and `∠`EYX =`∠`C = 45°
3. Draw the angle bisector of `∠`DXY and `∠`EYX which interest each other at A.
4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.
5. Join AB and AC
∴ Δ ABC is the required triangle.
APPEARS IN
RELATED QUESTIONS
Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a ΔABC in which BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to ______.
An angle of 42.5° can be constructed.
A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
