Question

5. Construct a triangle XYZ with XY = 8 cm, 2x = 60° and Ly = 80°. Meas ure XZ
and YZ. Are they equal? Classify the triangle according to its sides,
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Answer 1

Answer:

Step-1: Draw a Line Segment of length 8cm.

Step-2: Name it as XY.

Step-3: From the Point X, mark a point at an angle 60° using a protractor.

Step-4: From the Point Y, mark a point at an angle 80° using protractor

Step-5: Draw the lines from Point X and Point Y towards the points marked at Step-3 and Step-4 respectively, so that the two lines intersect each other at a point Z.

Measure YZ and ZX.

If YZ=ZX, then the triangle is an Isosceles Triangle.

If XY=YZ=ZX, then the triangle is an Equilateral Triangle.

If YZ is not equal to ZX, then the triangle is a Scalene Triangle.

You can check the picture provided below for a better understanding.

Hope this solution helps you better.

          Thank you.

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