Question

Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.

Answer 1

Steps of construction:
Step 1: Draw a line segment XY of 10cm.
Step 2: Draw `∠`DXY =`∠`B = 90°and `∠`FYX = `∠`C = 60°
Step 3: Draw the angle bisectors of`∠` DXY  and `∠`EYX which intersects each other at A.
Step 4: Draw the perpendicular of AX and AY which intersect XY at B and C respectively.
Step 5: Join AB and AC
∴ Δ ABC is the required triangle