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1. Construct a triangle ABC when

AB = 6.0 cm,BC = 8.0 cm and AC = 7.5 cm(ie,if three sides are given)

1. Draw AB = 6 cm

2. With A as centre and radius = 7.5 cm,draw an arc

3. With B as centre and radius = 8 cm,draw one more arc,which cuts the former arc at C.

4. Join AC and BC.ABC is the required triangle.

2. Construct a triangle PQR,when QR = 3.6 cm,RP = 3 cm and R = 45^{o}

(ie,if lengths of two of its sides and the included angle are given)

Step 1: Draw QR = 3.6 cm

Step 2: Draw RS,making angle 45^{o} with QR.ie QRP = 45^{o}

Step 3: From RS,cut RP = 3 cm.

Step 4: Join Q and P.PQR is the required traingle.

3. Construct an isosceles traingle ABC when base BC = 6.8 cm and A = 90^{o}.

Since ABC is isosceles and A = 90^{o},B = C = 45^{o},since base angles are equal.

Step 1: Draw BC = 6.8 cm

Step 2: Since base angles are equal,B = C = 45^{o},Draw BP making PBC = 45^{o}

Step 3: Draw CQ making BCQ = 45^{o}

Step 4: BP and CQ meeting at A,ABC is the required triangle.

4. Construct an equilateral triangle ABC in which AB = 6 cm.

Each angle of an equilateral traingle is 60^{o}.

Step 1: Draw a line AB = 6 cm

Step 2: With A as centre draw AP with PAB = 60^{o}

Step 3: With B as centre draw BQ with ABQ = 60^{o}

Step 4: AP and BQ intersect at C.

ABC is the required triangle

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Std 9

ICSE/ISC