Question

Construct a triangle xyz in which angle y=45, angle z=75 and xy+yz+zx=12cm

Answer 1

XYZ is a required triangle

Step-by-step explanation:

(i) Draw a line segment AB = 12 cm.  

(ii) At  A, construct an angle of 45° and at B construct an angle of 75°.  

(iii) Bisect these angles. Let bisector of these angles intersect at point X.  

(iv) Draw perpendicular bisector CD of XA to intersect AB at Y and EF of XB to intersect AB at Z.  

(v) Join XY and XZ to obtain required △XYZ.

XYZ is a required triangle

#Learn more :

Construct TRIANGLE XYZ in which Angle Y=15,angle Z=30,XY+YZ+ZX=10​

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Answer 2

Construct a triangle XYZ

Step-by-step explanation:

• XYZ is the required triangle
• Draw a line BC = 12cm(xy+yz+zx=12cm)
• Draw ∠LBC = ∠Y = 45° and ∠MCB = ∠Z = 90°
• Bisect ∠LBC and ∠MCB meeting at point x.
• Now, construct the perpendicular bisectors of FG of XC and DE of XB.
• Allow DE intersect BC at Z and DE intersect BC at Y.
• Join XYZ and it is the required triangle.

Learn more: construct a triangle

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