Advertisements
Advertisements
Question
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Advertisements
Solution
Steps of construction:
1. Draw a line segment XY of 6.4cm.
2. Draw `∠`DXY = B = 60° and `∠`EYX =`∠`C = 45°
3. Draw the angle bisector of `∠`DXY and `∠`EYX which interest each other at A.
4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.
5. Join AB and AC
∴ Δ ABC is the required triangle.
APPEARS IN
RELATED QUESTIONS
Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.
Construct a triangle PQR in which QR = 6 cm, ∠Q = 60° and PR − PQ = 2 cm
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 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 right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
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.
An angle of 42.5° can be constructed.
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.
