Construct a $Δ X Y Z$ in which $∠ Y = 45^{o}, ∠ Z = 90^{o} a n d X Y + Y Z + Z X = 13 c m$ and write the steps of the construction.

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Solution

Steps of construction:

Step 1: Draw a line segment AB = 13 cm.

Step 2: At A, construct an angle of 45° and at B construct an angle of 90°

Step 3: Bisect these angles. Let the bisectors of these angles intersect at point X. Join AX and BX.

Step 4: Draw perpendicular bisectors of AX and BX to intersect AB at Y and Z respectively. Join XY and XZ.

Then, XYZ is the required triangle

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Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Question 1
Construct $Δ$ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Construct a triangle $X Y Z$ in which $∠ Y = 30^{\circ},$ $∠ Z = 90^{\circ}$ and $X Y + Y Z + Z X = 11 c m .$

X Y Z

∠ Y = 30^{o}

∠ Z = 90^{o}

X Y + Z X + Y Z = 11 c m

Construct a triangle XYZ in which $∠ Y = 30^{\circ}, ∠ Z = 90^{\circ} a n d X Y + Y Z + Z X = 11.$

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