Construct a -ABC in which BC - 6 cm- -B - 35-and -C - 100-

Step 1 : Draw a line segment BC = 6 cm. Step 2 : Draw ∠ CBX, Such that ∠ CBX = 35^∘ Step 3 : Draw ∠ BCY with Y on the same side of BC as X such that ∠ BCY = 100 ...

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Standard VII

Mathematics

Construction of a Triangle with ASA Criterion

Construct a Δ...

Question

Construct a ΔABC in which BC = 6 cm, ∠B = $35^{\circ}$ and ∠C = $100^{\circ}$

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Solution

Step 1 : Draw a line segment BC = 6 cm.
Step 2 : Draw $∠ C B X,$ Such that $∠ C B X = 35^{\circ}$
Step 3 : Draw $∠ B C Y$ with Y on the same side of BC as X such that $∠ B C Y = 100^{\circ}$
Step 4 : Let BX and CY intersect at A.
$△ A B C$ is the required triangle.

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Construct a ΔABC in which BC = 6 cm, ∠B = 35∘and ∠C = 100∘

Step 1 : Draw a line segment BC = 6 cm. Step 2 : Draw ∠CBX, Such that ∠CBX=35∘ Step 3 : Draw ∠BCY with Y on the same side of BC as X such that ∠BCY=100∘ Step 4 : Let BX and CY intersect at A. △ABC is the required triangle.

Construct a ΔABC in which BC = 6 cm, ∠B = $35^{\circ}$ and ∠C = $100^{\circ}$

Step 1 : Draw a line segment BC = 6 cm.
Step 2 : Draw $∠ C B X,$ Such that $∠ C B X = 35^{\circ}$
Step 3 : Draw $∠ B C Y$ with Y on the same side of BC as X such that $∠ B C Y = 100^{\circ}$
Step 4 : Let BX and CY intersect at A.
$△ A B C$ is the required triangle.