Page 2 - LN3

5. SUBTOPIC: Given the length of hypotenuse of a right-angled triangle and the
length of one of its legs (RHS).

Example:

Construct the right angled ΔPQR, where m∠Q = 90 , QR = 8 cm and PR = 10
0
cm.

Answer:
0
To construct: A right angled triangle PQR where m∠Q = 90 , QR = 8 cm and
PQ = 10 cm.

Steps of construction:
(a) Draw a line segment QR = 8 cm.
(b) At point Q, draw QX ⊥ QR.
(c) Taking R as centre, draw an arc of radius 10 cm.

(d) This arc cuts QX at point P.
(e) Join PQ.
Therefore, PQR is the required triangle.