Question

Construct a triangle of the measures given below.

In the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.

Answer 1

Steps of construction:

1. Draw the Base:
   • Since ST = 4 cm ST = 4 cm using a ruler.
2. Construct the Right Angle at T:
   • Place the protractor at point T on the line ST.
   • Mark a point where the angle measures 90^∘
   • Draw a perpendicular line from T.
3. Mark the Hypotenuse SU:
   • Set your compass to measure 5 cm (the length of the hypotenuse).
   • Place the compass point at S and draw an arc intersecting the perpendicular line from T.
   • Label the intersection as point U.
4. Complete the Triangle:
   • Connect U to S and U to T.

You now have a right-angled triangle ∆STU with SU = 5 cm and ST = 4 cm.