Construct a quadrilateral MIST where MI -3-5 cm - IS -6-5 cm- Angle M -75- Angle I -105- and Angle S -120-

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Standard VIII

Mathematics

Construction of Special Quadrilaterals

Construct a q...

Question

Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ .

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Solution

Steps of Construction:

Draw MI=3.5 cm. Draw IS at angle of 105 degrees with MI having length 6.5 cm. From S draw a line making angle 120 degrees with SI. From M draw a line making angle 75 degrees with MI. Let these 2 lines meet at T. Complete quadrilateral MIST as shown in figure.

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A quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ can exist.

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Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = 75∘, Angle I = 105∘ and Angle S = 120∘.

Steps of Construction: Draw MI=3.5 cm. Draw IS at angle of 105 degrees with MI having length 6.5 cm. From S draw a line making angle 120 degrees with SI. From M draw a line making angle 75 degrees with MI. Let these 2 lines meet at T. Complete quadrilateral MIST as shown in figure.

Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = $75^{\circ}$ , Angle I = $105^{\circ}$ and Angle S = $120^{\circ}$ .

Steps of Construction:

Draw MI=3.5 cm. Draw IS at angle of 105 degrees with MI having length 6.5 cm. From S draw a line making angle 120 degrees with SI. From M draw a line making angle 75 degrees with MI. Let these 2 lines meet at T. Complete quadrilateral MIST as shown in figure.