Construct a -ABC in which BC - 4 cm- -B - 50- and -C -70-

Steps of construction: 1. Draw a line segment BC of length 4 cm. 2. Draw ∠CBX such that ∠CBX=50^∘. 3. Draw ∠BCY with Y on the same side of BC as X such that ∠BC ...

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Standard VIII

Mathematics

Construction of a Right Triangle Whose One Side and Hypotenuse Are Given

Construct a ∆...

Question

Construct a ∆ABC in which BC = 4 cm, ∠B = $50^{\circ}$ and ∠C = $70^{\circ}$

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Solution

Steps of construction:
1. Draw a line segment BC of length 4 cm.
2. Draw ∠CBX such that ∠CBX= $50^{\circ}$ .
3. Draw ∠BCY with Y on the same side of BC as X such that ∠BCY= $70^{\circ}$ .
4. Let CY and BX intersect at A.
5. ABC is the required triangle.

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Construct a ∆ABC in which BC = 4 cm, ∠B = 50∘ and ∠C =70∘

Steps of construction: 1. Draw a line segment BC of length 4 cm. 2. Draw ∠CBX such that ∠CBX=50∘. 3. Draw ∠BCY with Y on the same side of BC as X such that ∠BCY= 70∘. 4. Let CY and BX intersect at A. 5. ABC is the required triangle.

Construct a ∆ABC in which BC = 4 cm, ∠B = $50^{\circ}$ and ∠C = $70^{\circ}$

Steps of construction:
1. Draw a line segment BC of length 4 cm.
2. Draw ∠CBX such that ∠CBX= $50^{\circ}$ .
3. Draw ∠BCY with Y on the same side of BC as X such that ∠BCY= $70^{\circ}$ .
4. Let CY and BX intersect at A.
5. ABC is the required triangle.