Question

Construct a right-angled triangle whose hypotenuse measures 5.3 cm
and the length of one of whose sides containing the right angle
measures 4.5 cm.​

Answer 1

Answer:

Step-by-step explanation:

The point R should be on the semicircular arc.  Line PQ and semicircle drawn with PQ as the diameter are correct.  It is the circumcircle of the triangle PQR.  (we know angle in a semicircle ie., ∠PRQ = 90°).

 The distance OR = OP = OQ = circumradius.

So  you have to do:

1.  Draw PQ = 5.3 cm  Hypotenuse.

2.  Bisect it by the standard procedure. O is the midpoint.

3.  Draw a semicircular arc above PQ with OP = OQ as the radius.

4.  From P draw a circular arc with radius = 4.5 cm and intersecting the previous semicircular arc.

5.  The point of intersection of two arcs is R.  

6. Join PR and QR.