Advertisements
Advertisements
प्रश्न
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
उत्तर
Steps of construction:
Step 1: Draw a line segment XY of 12cm.
Step 2: Draw `∠`DXY = `∠`B = 45° and `∠`EYX = `∠`C = 60°
Step 3: Draw the angle bisectors of angles of DXY and EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
∴Δ ABC is the required triangle
APPEARS IN
संबंधित प्रश्न
Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
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° .
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 ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
