Q. 24.8( 9 Votes )

# Construct a

Answer :

We have been given two sides and one angle of right angled triangle ABC.

Steps of construction for this case would be:

1. Draw a line segment sufficiently long using a ruler. 2. Locate points Q and R such that QR = 3 cm, on the previously drawn line segment using a ruler. 3. At R, construct a line segment RX, sufficiently large, such that XRQ = 90° using a compass; use protractor to measure the angle 90°. 4. With Q as centre and radius 4 cm, draw a circle or a semicircle or an arc cutting the line segment RX at P. 5. Join QP. Thus, PQR is the required triangle.

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