Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Question:
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Solution:
Steps of Construction:
1. Draw a line segment XY of 10 cm.
2. Draw ∠DXY = 90° and ∠EYX = 60°.
3. Draw the angle bisectors of ∠DXY and ∠EYX which intersect each other at A.
4. Draw the perpendicular bisector of AX and AY which intersect XY at B and C respectively.
5. Join AB and AC.
Hence △ABC is the required triangle.