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^o and ∠FYX = ∠C =60^o

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

Therefore ΔABC is the required triangle

Comments

Thank you