Advertisements
Advertisements
Question
Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.
Advertisements
Solution
Steps of construction:
Step 1: Draw a line segment BC of 6cm.
Step 2: Take midpoint D of BC.
Step 3: with center B and D and radii 6cm and 4cm draw two arcs which intersects each other A
Step 4: Join AB, AD and AC
∴ Δ ABC is the required triangle
APPEARS IN
RELATED QUESTIONS
Construct a triangle PQR in which QR = 6 cm, ∠Q = 60° and PR − PQ = 2 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 BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
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° .
Using ruler and compasses only, construct a ΔABC from the following data:
AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°.
Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.
With the help of a ruler and a compass it is not possible to construct an angle of ______.
A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.
Construct the following and give justification:
A rhombus whose diagonals are 4 cm and 6 cm in lengths.
