Advertisements
Advertisements
प्रश्न
Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, AB − AC = 1.5 cm and ∠B = 45°.
Advertisements
उत्तर

Steps of construction:
Step 1: Draw a line segment BC of 4.5cm
Step 2: At B, draw an angle XBC of 45°
Step 3: With center B and radius 5 6 , cm draw an arc which intersects BX at D.
Step 4: Join DC
Step 5: Draw the perpendicular bisector of DC which intersects BD at A.
Step 6: Join AC
∴ΔABC is a 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 right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.
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°.
An angle of 52.5° can be constructed.
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 the following and give justification:
A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.
