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Question
Construct a triangle of the measures given below.
In the right-angled ∆STU, hypotenuse SU = 5 cm and l(ST) = 4 cm.
Solution
Steps of construction:
- Draw the Base:
- Since ST = 4 cm ST = 4 cm using a ruler.
- 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.
- 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.
- 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.
RELATED QUESTIONS
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Students should take examples of their own and practise the construction of triangles.
Construct a right-angled triangle in which: QP = QR and hypotenuse PR = 7 cm
Construct an isosceles triangle in which: AB = AC, BC = 6 cm and ∠B = 75°
Construct a triangle using the given data: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°
