Advertisements
Advertisements
Question
Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Advertisements
Solution

Steps of construction:
1. Draw a line segment BC of 3.6cm.
2. At the point B, draw `∠`xBC of 60°
3. With center B and radius 4.8cm, draw an arc which intersects XB at D.
4. Join DC
5. Draw the perpendicular bisector of DC which intersects DB at A.
6. Join AC
Hence ΔABCis the required triangle
APPEARS IN
RELATED QUESTIONS
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 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 triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
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.
