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.

APPEARS IN
संबंधित प्रश्न
Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
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 BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct the following and give justification:
A triangle PQR given that QR = 3 cm, ∠PQR = 45° and QP – PR = 2 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
