Construct -XYZ such that XY - 6 cm- - X - 30- and - Y - 100- The length of YZ is -

Steps of construction: Step 1: Draw line segment XY = 6 cm. Step 2: At X, construct nbsp;∠ X nbsp;= 30°. Step 3: At Y, construct nbsp;∠ Y = 100°. nbsp; ...

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Byju's Answer

Standard IX

Mathematics

Construction 1

Construct ΔXY...

Question

Construct $Δ$ XYZ such that XY = 6 cm, $∠ X$ = 30°, and $∠ Y$ = 100°. The length of YZ is .

4.9 cm

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4.5 cm

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3.9 cm

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Solution

The correct option is C 3.9 cm
Steps of construction:
Step 1: Draw line segment XY = 6 cm.
Step 2: At X, construct $∠ X$ = 30°.
Step 3: At Y, construct $∠ Y$ = 100°.
Step 4: Mark the intersection point as Z.
From the above construction, measure the length of YZ using ruler.
YZ = 3.9 cm

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Construct ΔXYZ such that XY = 6 cm, ∠X = 30°, and ∠Y = 100°. The length of YZ is .

The correct option is C 3.9 cm Steps of construction: Step 1: Draw line segment XY = 6 cm. Step 2: At X, construct ∠X = 30°. Step 3: At Y, construct ∠Y = 100°. Step 4: Mark the intersection point as Z. From the above construction, measure the length of YZ using ruler. YZ = 3.9 cm

Construct $Δ$ XYZ such that XY = 6 cm, $∠ X$ = 30°, and $∠ Y$ = 100°. The length of YZ is .

The correct option is C 3.9 cm
Steps of construction:
Step 1: Draw line segment XY = 6 cm.
Step 2: At X, construct $∠ X$ = 30°.
Step 3: At Y, construct $∠ Y$ = 100°.
Step 4: Mark the intersection point as Z.
From the above construction, measure the length of YZ using ruler.
YZ = 3.9 cm