Construct a \triangle A B C in which B C=6.5 {\cm}, \angle A B C=60^{\circ}, A B=5 {\cm} .

ICSE Class X Math 2016 Solved Paper - Question 52

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Question : 52 of 57

Marks: +1, -0

Construct a

△ A B C

in which

B C=6.5

{\cm}, ∠ A B C=60^{∘}, A B=5 {\cm}

Solution:

Steps of construction :
1. Draw a line

{\BC}=6.5 {\cm}

.

2. At B, make a angle of

60^{∘}

with BC.

3. Taking

B

as centre, cut an arc of 5

{\cm}

i.e. point A.

4. Join AC.
Thus

{\ABC}

is a required triangle.

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