Question

construct a rhombus x y z w given that xyz=7.8cm and YW=6.4​

Answer 1

Answer:

Given: l(XY)=5.5 cm, l(XW)=3 cm, m∠X=70°, m∠Y=95° and m∠Z=85°.

First, draw a rough sketch of quadrilateral XYZW and indicate the given lengths, as shown below.

The angle formed at W will be required in the construction. This angle can be calculated based on the fact that sum of all the angles of a quadrilateral is 360°. So, m∠W=360° − 250°=110°

Steps of Construction:

(1) Draw a line segment XY = 5.5 cm.

(2) Then, construct an angle of 70° at X. Mark the point W, such that WX = 3 cm.

(3) Now, construct an angle of 110° at W and an angle of 95° at Y to meet the two line segments at Z.

Thus, XYZW is the required quadrilateral.

Answer 2

Answer:

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