Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (RHS Criterion)

Example

Draw a triangle PQR which is right angled at P, with QR =7 cm and PQ = 4.5 cm.

Solution

Step 1: Draw a rough sketch of the triangle.

Step 2: Draw a line segment PQ = 4.5 cm.

Step 3: At P, draw PS ⊥ PQ. This shows that R must be somewhere on this perpendicular.

Step 4: Take Q as a centre and draw an arc of 7 cm which intersects PS at R.

PQR is the required triangle .

Scroll to Top