Advertisements
Advertisements
प्रश्न
Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.
Advertisements
उत्तर
The below given steps will be followed to draw the required triangle.
Step I:- Draw the line segment BC = 8 cm and at point B, make an angle of 45°, say ∠XBC.
Step II:- Cut the line segment BD = 3.5 cm (equal to AB − AC) on ray BX.
Step III:- Join DC and draw the perpendicular bisector PQ of DC.
Step IV:- Let it intersect BX at point A. Join AC. ΔABC is the required triangle.
संबंधित प्रश्न
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 BC = 3.4 cm, AB − AC = 1.5 cm and ∠B = 45°.
Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
