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 whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.
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 52.5° can be constructed.
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.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 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.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
