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Showing posts with the label Geometric construction

In △ABC, BC=5.8cm, seg BP is perpendicular to seg AC, seg CQ is perpendicular to seg AB, BP=5cm, CQ=4.8cm. Construct △ABC.

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Draw a sector O-AXB with radius 7cm and m(arc AXB) = 50°. Draw a circle touching the sides OA and OB and also the arc.

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Construct △ABC such that BC=8.8cm, ∠B=50°, radius of incircle of △ABC is 2.2cm.

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Point O is the orthocenter of △ABC, m∠BOC=105°, seg AD is perpendicular to seg BC, BC=6.5cm and AD=3.5cm. Draw △ABC.

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Point I is the incenter of △ ABC, Angle BIC=120°, BC=4cm, median AP=3cm. Draw △ABC.

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In ∆RST, RS=5cm, RT=6.8cm and median RM=5.3cm. Construct a circumcircle of ∆RST.

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Construct ∆XYZ such that, YZ = 6.2cm, angle Z= 65° and XY-XZ = 2.4cm and draw incircle of it.

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Construct ∆LMN, such that LN=8cm and ∠LMN=80° and LM-MN = 3cm. Construct its circumcircle.

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In ∆PQR, QR=7.5cm, ∠QPR=110° and PQ+PR=8.3cm then construct ∆PQR and measure ∠PQR. Construct its circumcircle.

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Construct a triangle ABC, in which BC=3.5cm, ∠B=60° and altitude AD=2.5cm and draw its incircle and measure its radius.

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Draw a triangle ABC with side BC=6cm, angle B=45° and angle A = 100°, then construct a triangle whose sides a re 4/7 times the corresponding sides of Triangle ABC.

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Draw segment AB of any length. Take point D on AB such that AD² = 3BD².

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To draw seg AB of length √65 without using Pythagoras theorem.

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