Advertisements
Advertisements
Question
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Advertisements
Solution
Given, in ΔABC, BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
To construct the triangle ABC use the following steps:
- Draw the base BC = 5 cm.
- At the point B make an ∠XBC = 60°.
- Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.
- Join DC.
- Make an ∠DCY = ∠BDC.
- Let CY intersect BX at A.
Then, ΔABC is the required triangle.
APPEARS IN
RELATED QUESTIONS
Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB − AC = 3.5 cm.
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.
Using ruler and compasses only, construct a ΔABC, given base BC = 7cm, ∠ABC = 60° and AB + AC = 12 cm.
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 ______.
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 = 60°, ∠C = 45° and AB + BC + AC = 12 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
