Advertisements
Advertisements
प्रश्न
Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.
Advertisements
उत्तर
Steps of construction:
1. Draw a line segment BC of 7cm .
2. At B, draw an angle XBC of 60°
3. With center B and radius 1 2 , cm draw an arc which intersects BX at D.
4. Join DC
5. Draw the perpendicular bisector of DC which intersects BD at A.
6. 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 right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 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 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 triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.
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.
