Construct -XYZ such that XY - 5 cm- YZ - 5-5 cm- and - Y - 100- Find the length of XZ-

Steps of construction: Step 1: Draw line segment YZ = 5.5 cm. Step 2: At Y, construct nbsp;∠ Y = 100°. Step 3: With Y as centre, cut an arc of radius 5 cm and ...

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Standard VIII

Mathematics

Construction When Two Angles and Included Sides are Given

Construct ΔXY...

Question

Construct $Δ$ XYZ such that XY = 5 cm, YZ = 5.5 cm, and $∠ Y$ = 100°. Find the length of XZ.

6 cm

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7 cm

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8 cm

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9 cm

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Solution

The correct option is C 8 cm
Steps of construction:
Step 1: Draw line segment YZ = 5.5 cm.
Step 2: At Y, construct $∠ Y$ = 100°.
Step 3: With Y as centre, cut an arc of radius 5 cm and mark the point of intersection with the line as X.
Step 4: Join points X and Z.

From the above construction, measure the length of XZ using ruler.
XZ = 8 cm

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Construct ΔXYZ such that XY = 5 cm, YZ = 5.5 cm, and ∠Y = 100°. Find the length of XZ.

Construct $Δ$ XYZ such that XY = 5 cm, YZ = 5.5 cm, and $∠ Y$ = 100°. Find the length of XZ.